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Finding the Fourth Proportional to 15,404, 23,109.84 and 4,460

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Solution

The fourth proportional to 15,404, 23,109.84 and 4,460 is: 6,691.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,404 : 23,109.84 = 4,460 : x
  2. Step 2: Convert to fraction form
    15,404/23,109.84 = 4,460/x
  3. Step 3: Cross multiply
    15,404x = 23,109.84 × 4,460
  4. Step 4: Simplify right side
    15,404x = 103,069,886.40
  5. Step 5: Solve for x
    x = 103,069,886.40/15,404
  6. Step 6: Final answer
    x = 6,691.11

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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.