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Finding the Fourth Proportional to 22,873.60, 34,295.80 and 9,719.20

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Solution

The fourth proportional to 22,873.60, 34,295.80 and 9,719.20 is: 14,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,873.60 : 34,295.80 = 9,719.20 : x
  2. Step 2: Convert to fraction form
    22,873.60/34,295.80 = 9,719.20/x
  3. Step 3: Cross multiply
    22,873.60x = 34,295.80 × 9,719.20
  4. Step 4: Simplify right side
    22,873.60x = 333,327,739.36
  5. Step 5: Solve for x
    x = 333,327,739.36/22,873.60
  6. Step 6: Final answer
    x = 14,572.60

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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.