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Finding the Fourth Proportional to 14,744.10, 20,312.25 and 10,260.15

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Solution

The fourth proportional to 14,744.10, 20,312.25 and 10,260.15 is: 14,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.10 : 20,312.25 = 10,260.15 : x
  2. Step 2: Convert to fraction form
    14,744.10/20,312.25 = 10,260.15/x
  3. Step 3: Cross multiply
    14,744.10x = 20,312.25 × 10,260.15
  4. Step 4: Simplify right side
    14,744.10x = 208,406,731.84
  5. Step 5: Solve for x
    x = 208,406,731.84/14,744.10
  6. Step 6: Final answer
    x = 14,134.92

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