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Finding the Fourth Proportional to 14,205.16, 21,303.42 and 4,969

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Solution

The fourth proportional to 14,205.16, 21,303.42 and 4,969 is: 7,451.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.16 : 21,303.42 = 4,969 : x
  2. Step 2: Convert to fraction form
    14,205.16/21,303.42 = 4,969/x
  3. Step 3: Cross multiply
    14,205.16x = 21,303.42 × 4,969
  4. Step 4: Simplify right side
    14,205.16x = 105,856,693.98
  5. Step 5: Solve for x
    x = 105,856,693.98/14,205.16
  6. Step 6: Final answer
    x = 7,451.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.