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Finding the Fourth Proportional to 24,897.80, 37,345.90 and 8,258.60

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Solution

The fourth proportional to 24,897.80, 37,345.90 and 8,258.60 is: 12,387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897.80 : 37,345.90 = 8,258.60 : x
  2. Step 2: Convert to fraction form
    24,897.80/37,345.90 = 8,258.60/x
  3. Step 3: Cross multiply
    24,897.80x = 37,345.90 × 8,258.60
  4. Step 4: Simplify right side
    24,897.80x = 308,424,849.74
  5. Step 5: Solve for x
    x = 308,424,849.74/24,897.80
  6. Step 6: Final answer
    x = 12,387.63

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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.