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Finding the Fourth Proportional to 22,934.96, 34,415.58 and 12,405.14

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Solution

The fourth proportional to 22,934.96, 34,415.58 and 12,405.14 is: 18,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,934.96 : 34,415.58 = 12,405.14 : x
  2. Step 2: Convert to fraction form
    22,934.96/34,415.58 = 12,405.14/x
  3. Step 3: Cross multiply
    22,934.96x = 34,415.58 × 12,405.14
  4. Step 4: Simplify right side
    22,934.96x = 426,930,088.08
  5. Step 5: Solve for x
    x = 426,930,088.08/22,934.96
  6. Step 6: Final answer
    x = 18,614.82

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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.