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Finding the Fourth Proportional to 15,266.16, 22,909.50 and 5,405.40

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Solution

The fourth proportional to 15,266.16, 22,909.50 and 5,405.40 is: 8,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,266.16 : 22,909.50 = 5,405.40 : x
  2. Step 2: Convert to fraction form
    15,266.16/22,909.50 = 5,405.40/x
  3. Step 3: Cross multiply
    15,266.16x = 22,909.50 × 5,405.40
  4. Step 4: Simplify right side
    15,266.16x = 123,835,011.30
  5. Step 5: Solve for x
    x = 123,835,011.30/15,266.16
  6. Step 6: Final answer
    x = 8,111.73

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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.