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Finding the Fourth Proportional to 12,402.92, 18,689.67 and 10,259.80

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Solution

The fourth proportional to 12,402.92, 18,689.67 and 10,259.80 is: 15,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.92 : 18,689.67 = 10,259.80 : x
  2. Step 2: Convert to fraction form
    12,402.92/18,689.67 = 10,259.80/x
  3. Step 3: Cross multiply
    12,402.92x = 18,689.67 × 10,259.80
  4. Step 4: Simplify right side
    12,402.92x = 191,752,276.27
  5. Step 5: Solve for x
    x = 191,752,276.27/12,402.92
  6. Step 6: Final answer
    x = 15,460.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.