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Finding the Fourth Proportional to 15,513.82, 23,281.16 and 15,456.74

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Solution

The fourth proportional to 15,513.82, 23,281.16 and 15,456.74 is: 23,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513.82 : 23,281.16 = 15,456.74 : x
  2. Step 2: Convert to fraction form
    15,513.82/23,281.16 = 15,456.74/x
  3. Step 3: Cross multiply
    15,513.82x = 23,281.16 × 15,456.74
  4. Step 4: Simplify right side
    15,513.82x = 359,850,837.02
  5. Step 5: Solve for x
    x = 359,850,837.02/15,513.82
  6. Step 6: Final answer
    x = 23,195.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.