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Finding the Fourth Proportional to 12,041.64, 18,064.08 and 6,487.47

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Solution

The fourth proportional to 12,041.64, 18,064.08 and 6,487.47 is: 9,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041.64 : 18,064.08 = 6,487.47 : x
  2. Step 2: Convert to fraction form
    12,041.64/18,064.08 = 6,487.47/x
  3. Step 3: Cross multiply
    12,041.64x = 18,064.08 × 6,487.47
  4. Step 4: Simplify right side
    12,041.64x = 117,190,177.08
  5. Step 5: Solve for x
    x = 117,190,177.08/12,041.64
  6. Step 6: Final answer
    x = 9,732.08

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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.