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Finding the Fourth Proportional to 14,857.68, 20,506.32 and 10,140.24

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Solution

The fourth proportional to 14,857.68, 20,506.32 and 10,140.24 is: 13,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.68 : 20,506.32 = 10,140.24 : x
  2. Step 2: Convert to fraction form
    14,857.68/20,506.32 = 10,140.24/x
  3. Step 3: Cross multiply
    14,857.68x = 20,506.32 × 10,140.24
  4. Step 4: Simplify right side
    14,857.68x = 207,939,006.32
  5. Step 5: Solve for x
    x = 207,939,006.32/14,857.68
  6. Step 6: Final answer
    x = 13,995.39

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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.