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Finding the Fourth Proportional to 13,037.32, 19,554 and 4,272.04

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Solution

The fourth proportional to 13,037.32, 19,554 and 4,272.04 is: 6,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.32 : 19,554 = 4,272.04 : x
  2. Step 2: Convert to fraction form
    13,037.32/19,554 = 4,272.04/x
  3. Step 3: Cross multiply
    13,037.32x = 19,554 × 4,272.04
  4. Step 4: Simplify right side
    13,037.32x = 83,535,470.16
  5. Step 5: Solve for x
    x = 83,535,470.16/13,037.32
  6. Step 6: Final answer
    x = 6,407.41

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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.