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Finding the Fourth Proportional to 24,424.42, 36,643.02 and 10,384.96

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Solution

The fourth proportional to 24,424.42, 36,643.02 and 10,384.96 is: 15,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424.42 : 36,643.02 = 10,384.96 : x
  2. Step 2: Convert to fraction form
    24,424.42/36,643.02 = 10,384.96/x
  3. Step 3: Cross multiply
    24,424.42x = 36,643.02 × 10,384.96
  4. Step 4: Simplify right side
    24,424.42x = 380,536,296.98
  5. Step 5: Solve for x
    x = 380,536,296.98/24,424.42
  6. Step 6: Final answer
    x = 15,580.16

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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.