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Finding the Fourth Proportional to 24,437.34, 36,648.33 and 8,017.50

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Solution

The fourth proportional to 24,437.34, 36,648.33 and 8,017.50 is: 12,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437.34 : 36,648.33 = 8,017.50 : x
  2. Step 2: Convert to fraction form
    24,437.34/36,648.33 = 8,017.50/x
  3. Step 3: Cross multiply
    24,437.34x = 36,648.33 × 8,017.50
  4. Step 4: Simplify right side
    24,437.34x = 293,827,985.78
  5. Step 5: Solve for x
    x = 293,827,985.78/24,437.34
  6. Step 6: Final answer
    x = 12,023.73

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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.