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Finding the Fourth Proportional to 24,428.55, 36,645.26 and 7,565.57

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Solution

The fourth proportional to 24,428.55, 36,645.26 and 7,565.57 is: 11,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428.55 : 36,645.26 = 7,565.57 : x
  2. Step 2: Convert to fraction form
    24,428.55/36,645.26 = 7,565.57/x
  3. Step 3: Cross multiply
    24,428.55x = 36,645.26 × 7,565.57
  4. Step 4: Simplify right side
    24,428.55x = 277,242,058.64
  5. Step 5: Solve for x
    x = 277,242,058.64/24,428.55
  6. Step 6: Final answer
    x = 11,349.10

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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.