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Finding the Fourth Proportional to 22,854.48, 34,275.60 and 9,700.08

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Solution

The fourth proportional to 22,854.48, 34,275.60 and 9,700.08 is: 14,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.48 : 34,275.60 = 9,700.08 : x
  2. Step 2: Convert to fraction form
    22,854.48/34,275.60 = 9,700.08/x
  3. Step 3: Cross multiply
    22,854.48x = 34,275.60 × 9,700.08
  4. Step 4: Simplify right side
    22,854.48x = 332,476,062.05
  5. Step 5: Solve for x
    x = 332,476,062.05/22,854.48
  6. Step 6: Final answer
    x = 14,547.52

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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.