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Finding the Fourth Proportional to 30,861.18, 42,587.64 and 17,432

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Solution

The fourth proportional to 30,861.18, 42,587.64 and 17,432 is: 24,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861.18 : 42,587.64 = 17,432 : x
  2. Step 2: Convert to fraction form
    30,861.18/42,587.64 = 17,432/x
  3. Step 3: Cross multiply
    30,861.18x = 42,587.64 × 17,432
  4. Step 4: Simplify right side
    30,861.18x = 742,387,740.48
  5. Step 5: Solve for x
    x = 742,387,740.48/30,861.18
  6. Step 6: Final answer
    x = 24,055.71

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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.