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Finding the Fourth Proportional to 24,971.52, 37,433.60 and 8,544

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Solution

The fourth proportional to 24,971.52, 37,433.60 and 8,544 is: 12,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971.52 : 37,433.60 = 8,544 : x
  2. Step 2: Convert to fraction form
    24,971.52/37,433.60 = 8,544/x
  3. Step 3: Cross multiply
    24,971.52x = 37,433.60 × 8,544
  4. Step 4: Simplify right side
    24,971.52x = 319,832,678.40
  5. Step 5: Solve for x
    x = 319,832,678.40/24,971.52
  6. Step 6: Final answer
    x = 12,807.90

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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.