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Finding the Fourth Proportional to 23,281.25, 32,105.78 and 15,641.78

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Solution

The fourth proportional to 23,281.25, 32,105.78 and 15,641.78 is: 21,570.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,281.25 : 32,105.78 = 15,641.78 : x
  2. Step 2: Convert to fraction form
    23,281.25/32,105.78 = 15,641.78/x
  3. Step 3: Cross multiply
    23,281.25x = 32,105.78 × 15,641.78
  4. Step 4: Simplify right side
    23,281.25x = 502,191,547.49
  5. Step 5: Solve for x
    x = 502,191,547.49/23,281.25
  6. Step 6: Final answer
    x = 21,570.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.