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Finding the Fourth Proportional to 23,217.64, 32,041.04 and 13,658.24

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Solution

The fourth proportional to 23,217.64, 32,041.04 and 13,658.24 is: 18,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217.64 : 32,041.04 = 13,658.24 : x
  2. Step 2: Convert to fraction form
    23,217.64/32,041.04 = 13,658.24/x
  3. Step 3: Cross multiply
    23,217.64x = 32,041.04 × 13,658.24
  4. Step 4: Simplify right side
    23,217.64x = 437,624,214.17
  5. Step 5: Solve for x
    x = 437,624,214.17/23,217.64
  6. Step 6: Final answer
    x = 18,848.78

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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.