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Finding the Fourth Proportional to 12,542.40, 18,807.36 and 5,612.16

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Solution

The fourth proportional to 12,542.40, 18,807.36 and 5,612.16 is: 8,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.40 : 18,807.36 = 5,612.16 : x
  2. Step 2: Convert to fraction form
    12,542.40/18,807.36 = 5,612.16/x
  3. Step 3: Cross multiply
    12,542.40x = 18,807.36 × 5,612.16
  4. Step 4: Simplify right side
    12,542.40x = 105,549,913.50
  5. Step 5: Solve for x
    x = 105,549,913.50/12,542.40
  6. Step 6: Final answer
    x = 8,415.45

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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.