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Finding the Fourth Proportional to 34,658.40, 51,982.17 and 11,284.68

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Solution

The fourth proportional to 34,658.40, 51,982.17 and 11,284.68 is: 16,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,658.40 : 51,982.17 = 11,284.68 : x
  2. Step 2: Convert to fraction form
    34,658.40/51,982.17 = 11,284.68/x
  3. Step 3: Cross multiply
    34,658.40x = 51,982.17 × 11,284.68
  4. Step 4: Simplify right side
    34,658.40x = 586,602,154.16
  5. Step 5: Solve for x
    x = 586,602,154.16/34,658.40
  6. Step 6: Final answer
    x = 16,925.25

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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.