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Finding the Fourth Proportional to 14,804.10, 20,421.99 and 10,024.29

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Solution

The fourth proportional to 14,804.10, 20,421.99 and 10,024.29 is: 13,828.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.10 : 20,421.99 = 10,024.29 : x
  2. Step 2: Convert to fraction form
    14,804.10/20,421.99 = 10,024.29/x
  3. Step 3: Cross multiply
    14,804.10x = 20,421.99 × 10,024.29
  4. Step 4: Simplify right side
    14,804.10x = 204,715,950.14
  5. Step 5: Solve for x
    x = 204,715,950.14/14,804.10
  6. Step 6: Final answer
    x = 13,828.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.