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Finding the Fourth Proportional to 17,658.68, 24,376.95 and 10,953.50

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Solution

The fourth proportional to 17,658.68, 24,376.95 and 10,953.50 is: 15,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.68 : 24,376.95 = 10,953.50 : x
  2. Step 2: Convert to fraction form
    17,658.68/24,376.95 = 10,953.50/x
  3. Step 3: Cross multiply
    17,658.68x = 24,376.95 × 10,953.50
  4. Step 4: Simplify right side
    17,658.68x = 267,012,799.94
  5. Step 5: Solve for x
    x = 267,012,799.94/17,658.68
  6. Step 6: Final answer
    x = 15,120.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.