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Finding the Fourth Proportional to 23,397.96, 32,289 and 13,188.06

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Solution

The fourth proportional to 23,397.96, 32,289 and 13,188.06 is: 18,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,397.96 : 32,289 = 13,188.06 : x
  2. Step 2: Convert to fraction form
    23,397.96/32,289 = 13,188.06/x
  3. Step 3: Cross multiply
    23,397.96x = 32,289 × 13,188.06
  4. Step 4: Simplify right side
    23,397.96x = 425,829,269.34
  5. Step 5: Solve for x
    x = 425,829,269.34/23,397.96
  6. Step 6: Final answer
    x = 18,199.42

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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.