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Finding the Fourth Proportional to 23,259.92, 32,098 and 13,189.28

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Solution

The fourth proportional to 23,259.92, 32,098 and 13,189.28 is: 18,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,259.92 : 32,098 = 13,189.28 : x
  2. Step 2: Convert to fraction form
    23,259.92/32,098 = 13,189.28/x
  3. Step 3: Cross multiply
    23,259.92x = 32,098 × 13,189.28
  4. Step 4: Simplify right side
    23,259.92x = 423,349,509.44
  5. Step 5: Solve for x
    x = 423,349,509.44/23,259.92
  6. Step 6: Final answer
    x = 18,200.82

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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.