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Finding the Fourth Proportional to 15,451.66, 23,177.52 and 6,215.50

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Solution

The fourth proportional to 15,451.66, 23,177.52 and 6,215.50 is: 9,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,451.66 : 23,177.52 = 6,215.50 : x
  2. Step 2: Convert to fraction form
    15,451.66/23,177.52 = 6,215.50/x
  3. Step 3: Cross multiply
    15,451.66x = 23,177.52 × 6,215.50
  4. Step 4: Simplify right side
    15,451.66x = 144,059,875.56
  5. Step 5: Solve for x
    x = 144,059,875.56/15,451.66
  6. Step 6: Final answer
    x = 9,323.26

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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.