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Finding the Fourth Proportional to 23,567.34, 32,543.82 and 16,041.72

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Solution

The fourth proportional to 23,567.34, 32,543.82 and 16,041.72 is: 22,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.34 : 32,543.82 = 16,041.72 : x
  2. Step 2: Convert to fraction form
    23,567.34/32,543.82 = 16,041.72/x
  3. Step 3: Cross multiply
    23,567.34x = 32,543.82 × 16,041.72
  4. Step 4: Simplify right side
    23,567.34x = 522,058,848.17
  5. Step 5: Solve for x
    x = 522,058,848.17/23,567.34
  6. Step 6: Final answer
    x = 22,151.79

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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.