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Finding the Fourth Proportional to 15,171.84, 22,762.08 and 6,405.12

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Solution

The fourth proportional to 15,171.84, 22,762.08 and 6,405.12 is: 9,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171.84 : 22,762.08 = 6,405.12 : x
  2. Step 2: Convert to fraction form
    15,171.84/22,762.08 = 6,405.12/x
  3. Step 3: Cross multiply
    15,171.84x = 22,762.08 × 6,405.12
  4. Step 4: Simplify right side
    15,171.84x = 145,793,853.85
  5. Step 5: Solve for x
    x = 145,793,853.85/15,171.84
  6. Step 6: Final answer
    x = 9,609.50

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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.