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Finding the Fourth Proportional to 23,142.96, 34,710.04 and 11,284.83

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Solution

The fourth proportional to 23,142.96, 34,710.04 and 11,284.83 is: 16,925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.96 : 34,710.04 = 11,284.83 : x
  2. Step 2: Convert to fraction form
    23,142.96/34,710.04 = 11,284.83/x
  3. Step 3: Cross multiply
    23,142.96x = 34,710.04 × 11,284.83
  4. Step 4: Simplify right side
    23,142.96x = 391,696,900.69
  5. Step 5: Solve for x
    x = 391,696,900.69/23,142.96
  6. Step 6: Final answer
    x = 16,925.10

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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.