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Finding the Fourth Proportional to 15,098.59, 22,615.08 and 7,291

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Solution

The fourth proportional to 15,098.59, 22,615.08 and 7,291 is: 10,920.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.59 : 22,615.08 = 7,291 : x
  2. Step 2: Convert to fraction form
    15,098.59/22,615.08 = 7,291/x
  3. Step 3: Cross multiply
    15,098.59x = 22,615.08 × 7,291
  4. Step 4: Simplify right side
    15,098.59x = 164,886,548.28
  5. Step 5: Solve for x
    x = 164,886,548.28/15,098.59
  6. Step 6: Final answer
    x = 10,920.66

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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.