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Finding the Fourth Proportional to 17,622.34, 24,319.36 and 9,664.90

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Solution

The fourth proportional to 17,622.34, 24,319.36 and 9,664.90 is: 13,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622.34 : 24,319.36 = 9,664.90 : x
  2. Step 2: Convert to fraction form
    17,622.34/24,319.36 = 9,664.90/x
  3. Step 3: Cross multiply
    17,622.34x = 24,319.36 × 9,664.90
  4. Step 4: Simplify right side
    17,622.34x = 235,044,182.46
  5. Step 5: Solve for x
    x = 235,044,182.46/17,622.34
  6. Step 6: Final answer
    x = 13,337.85

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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.