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Finding the Fourth Proportional to 24,437.40, 36,665.70 and 9,643.80

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Solution

The fourth proportional to 24,437.40, 36,665.70 and 9,643.80 is: 14,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437.40 : 36,665.70 = 9,643.80 : x
  2. Step 2: Convert to fraction form
    24,437.40/36,665.70 = 9,643.80/x
  3. Step 3: Cross multiply
    24,437.40x = 36,665.70 × 9,643.80
  4. Step 4: Simplify right side
    24,437.40x = 353,596,677.66
  5. Step 5: Solve for x
    x = 353,596,677.66/24,437.40
  6. Step 6: Final answer
    x = 14,469.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.