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Finding the Fourth Proportional to 24,314.34, 36,473.55 and 6,784.38

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Solution

The fourth proportional to 24,314.34, 36,473.55 and 6,784.38 is: 10,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.34 : 36,473.55 = 6,784.38 : x
  2. Step 2: Convert to fraction form
    24,314.34/36,473.55 = 6,784.38/x
  3. Step 3: Cross multiply
    24,314.34x = 36,473.55 × 6,784.38
  4. Step 4: Simplify right side
    24,314.34x = 247,450,423.15
  5. Step 5: Solve for x
    x = 247,450,423.15/24,314.34
  6. Step 6: Final answer
    x = 10,177.14

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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.