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Finding the Fourth Proportional to 16,564.14, 24,840.95 and 5,468.76

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Solution

The fourth proportional to 16,564.14, 24,840.95 and 5,468.76 is: 8,201.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.14 : 24,840.95 = 5,468.76 : x
  2. Step 2: Convert to fraction form
    16,564.14/24,840.95 = 5,468.76/x
  3. Step 3: Cross multiply
    16,564.14x = 24,840.95 × 5,468.76
  4. Step 4: Simplify right side
    16,564.14x = 135,849,166.38
  5. Step 5: Solve for x
    x = 135,849,166.38/16,564.14
  6. Step 6: Final answer
    x = 8,201.40

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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.