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Finding the Fourth Proportional to 23,798.92, 32,842 and 13,188.48

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Solution

The fourth proportional to 23,798.92, 32,842 and 13,188.48 is: 18,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.92 : 32,842 = 13,188.48 : x
  2. Step 2: Convert to fraction form
    23,798.92/32,842 = 13,188.48/x
  3. Step 3: Cross multiply
    23,798.92x = 32,842 × 13,188.48
  4. Step 4: Simplify right side
    23,798.92x = 433,136,060.16
  5. Step 5: Solve for x
    x = 433,136,060.16/23,798.92
  6. Step 6: Final answer
    x = 18,199.82

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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.