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Finding the Fourth Proportional to 24,580.40, 36,870.60 and 9,781.70

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Solution

The fourth proportional to 24,580.40, 36,870.60 and 9,781.70 is: 14,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,580.40 : 36,870.60 = 9,781.70 : x
  2. Step 2: Convert to fraction form
    24,580.40/36,870.60 = 9,781.70/x
  3. Step 3: Cross multiply
    24,580.40x = 36,870.60 × 9,781.70
  4. Step 4: Simplify right side
    24,580.40x = 360,657,148.02
  5. Step 5: Solve for x
    x = 360,657,148.02/24,580.40
  6. Step 6: Final answer
    x = 14,672.55

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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.