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Finding the Fourth Proportional to 21,567.60, 32,332.16 and 8,416.91

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Solution

The fourth proportional to 21,567.60, 32,332.16 and 8,416.91 is: 12,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,567.60 : 32,332.16 = 8,416.91 : x
  2. Step 2: Convert to fraction form
    21,567.60/32,332.16 = 8,416.91/x
  3. Step 3: Cross multiply
    21,567.60x = 32,332.16 × 8,416.91
  4. Step 4: Simplify right side
    21,567.60x = 272,136,982.70
  5. Step 5: Solve for x
    x = 272,136,982.70/21,567.60
  6. Step 6: Final answer
    x = 12,617.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.