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Finding the Fourth Proportional to 17,638.86, 24,341.55 and 9,572.34

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Solution

The fourth proportional to 17,638.86, 24,341.55 and 9,572.34 is: 13,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.86 : 24,341.55 = 9,572.34 : x
  2. Step 2: Convert to fraction form
    17,638.86/24,341.55 = 9,572.34/x
  3. Step 3: Cross multiply
    17,638.86x = 24,341.55 × 9,572.34
  4. Step 4: Simplify right side
    17,638.86x = 233,005,531.87
  5. Step 5: Solve for x
    x = 233,005,531.87/17,638.86
  6. Step 6: Final answer
    x = 13,209.79

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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.