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Finding the Fourth Proportional to 24,417.80, 36,633.24 and 10,378.46

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Solution

The fourth proportional to 24,417.80, 36,633.24 and 10,378.46 is: 15,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.80 : 36,633.24 = 10,378.46 : x
  2. Step 2: Convert to fraction form
    24,417.80/36,633.24 = 10,378.46/x
  3. Step 3: Cross multiply
    24,417.80x = 36,633.24 × 10,378.46
  4. Step 4: Simplify right side
    24,417.80x = 380,196,616.01
  5. Step 5: Solve for x
    x = 380,196,616.01/24,417.80
  6. Step 6: Final answer
    x = 15,570.47

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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.