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Finding the Fourth Proportional to 22,860.40, 34,275.80 and 9,709.20

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Solution

The fourth proportional to 22,860.40, 34,275.80 and 9,709.20 is: 14,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,860.40 : 34,275.80 = 9,709.20 : x
  2. Step 2: Convert to fraction form
    22,860.40/34,275.80 = 9,709.20/x
  3. Step 3: Cross multiply
    22,860.40x = 34,275.80 × 9,709.20
  4. Step 4: Simplify right side
    22,860.40x = 332,790,597.36
  5. Step 5: Solve for x
    x = 332,790,597.36/22,860.40
  6. Step 6: Final answer
    x = 14,557.51

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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.