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Finding the Fourth Proportional to 25,411.10, 38,129.64 and 12,099.14

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Solution

The fourth proportional to 25,411.10, 38,129.64 and 12,099.14 is: 18,154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,411.10 : 38,129.64 = 12,099.14 : x
  2. Step 2: Convert to fraction form
    25,411.10/38,129.64 = 12,099.14/x
  3. Step 3: Cross multiply
    25,411.10x = 38,129.64 × 12,099.14
  4. Step 4: Simplify right side
    25,411.10x = 461,335,852.51
  5. Step 5: Solve for x
    x = 461,335,852.51/25,411.10
  6. Step 6: Final answer
    x = 18,154.90

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