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Finding the Fourth Proportional to 24,393, 36,567.78 and 8,807.16

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Solution

The fourth proportional to 24,393, 36,567.78 and 8,807.16 is: 13,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393 : 36,567.78 = 8,807.16 : x
  2. Step 2: Convert to fraction form
    24,393/36,567.78 = 8,807.16/x
  3. Step 3: Cross multiply
    24,393x = 36,567.78 × 8,807.16
  4. Step 4: Simplify right side
    24,393x = 322,058,289.30
  5. Step 5: Solve for x
    x = 322,058,289.30/24,393
  6. Step 6: Final answer
    x = 13,202.90

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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.