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Finding the Fourth Proportional to 21,658.59, 32,495.18 and 9,963

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Solution

The fourth proportional to 21,658.59, 32,495.18 and 9,963 is: 14,947.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.59 : 32,495.18 = 9,963 : x
  2. Step 2: Convert to fraction form
    21,658.59/32,495.18 = 9,963/x
  3. Step 3: Cross multiply
    21,658.59x = 32,495.18 × 9,963
  4. Step 4: Simplify right side
    21,658.59x = 323,749,428.53
  5. Step 5: Solve for x
    x = 323,749,428.53/21,658.59
  6. Step 6: Final answer
    x = 14,947.85

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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.