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Finding the Fourth Proportional to 24,632.34, 36,926.55 and 9,046.32

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Solution

The fourth proportional to 24,632.34, 36,926.55 and 9,046.32 is: 13,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632.34 : 36,926.55 = 9,046.32 : x
  2. Step 2: Convert to fraction form
    24,632.34/36,926.55 = 9,046.32/x
  3. Step 3: Cross multiply
    24,632.34x = 36,926.55 × 9,046.32
  4. Step 4: Simplify right side
    24,632.34x = 334,049,387.80
  5. Step 5: Solve for x
    x = 334,049,387.80/24,632.34
  6. Step 6: Final answer
    x = 13,561.42

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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.