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Finding the Fourth Proportional to 21,658.16, 32,469.02 and 10,559.14

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Solution

The fourth proportional to 21,658.16, 32,469.02 and 10,559.14 is: 15,829.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.16 : 32,469.02 = 10,559.14 : x
  2. Step 2: Convert to fraction form
    21,658.16/32,469.02 = 10,559.14/x
  3. Step 3: Cross multiply
    21,658.16x = 32,469.02 × 10,559.14
  4. Step 4: Simplify right side
    21,658.16x = 342,844,712.70
  5. Step 5: Solve for x
    x = 342,844,712.70/21,658.16
  6. Step 6: Final answer
    x = 15,829.82

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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.