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Finding the Fourth Proportional to 15,112.40, 22,657.80 and 6,785.60

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Solution

The fourth proportional to 15,112.40, 22,657.80 and 6,785.60 is: 10,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,112.40 : 22,657.80 = 6,785.60 : x
  2. Step 2: Convert to fraction form
    15,112.40/22,657.80 = 6,785.60/x
  3. Step 3: Cross multiply
    15,112.40x = 22,657.80 × 6,785.60
  4. Step 4: Simplify right side
    15,112.40x = 153,746,767.68
  5. Step 5: Solve for x
    x = 153,746,767.68/15,112.40
  6. Step 6: Final answer
    x = 10,173.55

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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.