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Finding the Fourth Proportional to 22,826.40, 34,265.20 and 17,655.20

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Solution

The fourth proportional to 22,826.40, 34,265.20 and 17,655.20 is: 26,502.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,826.40 : 34,265.20 = 17,655.20 : x
  2. Step 2: Convert to fraction form
    22,826.40/34,265.20 = 17,655.20/x
  3. Step 3: Cross multiply
    22,826.40x = 34,265.20 × 17,655.20
  4. Step 4: Simplify right side
    22,826.40x = 604,958,959.04
  5. Step 5: Solve for x
    x = 604,958,959.04/22,826.40
  6. Step 6: Final answer
    x = 26,502.60

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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.