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Finding the Fourth Proportional to 14,874.41, 20,530.25 and 10,102.31

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Solution

The fourth proportional to 14,874.41, 20,530.25 and 10,102.31 is: 13,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.41 : 20,530.25 = 10,102.31 : x
  2. Step 2: Convert to fraction form
    14,874.41/20,530.25 = 10,102.31/x
  3. Step 3: Cross multiply
    14,874.41x = 20,530.25 × 10,102.31
  4. Step 4: Simplify right side
    14,874.41x = 207,402,796.71
  5. Step 5: Solve for x
    x = 207,402,796.71/14,874.41
  6. Step 6: Final answer
    x = 13,943.60

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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.