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Finding the Fourth Proportional to 13,787.30, 19,025.92 and 7,499.68

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Solution

The fourth proportional to 13,787.30, 19,025.92 and 7,499.68 is: 10,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787.30 : 19,025.92 = 7,499.68 : x
  2. Step 2: Convert to fraction form
    13,787.30/19,025.92 = 7,499.68/x
  3. Step 3: Cross multiply
    13,787.30x = 19,025.92 × 7,499.68
  4. Step 4: Simplify right side
    13,787.30x = 142,688,311.71
  5. Step 5: Solve for x
    x = 142,688,311.71/13,787.30
  6. Step 6: Final answer
    x = 10,349.26

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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.