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Finding the Fourth Proportional to 24,315.38, 36,462.74 and 9,521.95

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Solution

The fourth proportional to 24,315.38, 36,462.74 and 9,521.95 is: 14,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.38 : 36,462.74 = 9,521.95 : x
  2. Step 2: Convert to fraction form
    24,315.38/36,462.74 = 9,521.95/x
  3. Step 3: Cross multiply
    24,315.38x = 36,462.74 × 9,521.95
  4. Step 4: Simplify right side
    24,315.38x = 347,196,319.79
  5. Step 5: Solve for x
    x = 347,196,319.79/24,315.38
  6. Step 6: Final answer
    x = 14,278.88

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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.