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Finding the Fourth Proportional to 24,643.68, 36,970.56 and 9,061.44

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Solution

The fourth proportional to 24,643.68, 36,970.56 and 9,061.44 is: 13,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.68 : 36,970.56 = 9,061.44 : x
  2. Step 2: Convert to fraction form
    24,643.68/36,970.56 = 9,061.44/x
  3. Step 3: Cross multiply
    24,643.68x = 36,970.56 × 9,061.44
  4. Step 4: Simplify right side
    24,643.68x = 335,006,511.21
  5. Step 5: Solve for x
    x = 335,006,511.21/24,643.68
  6. Step 6: Final answer
    x = 13,594.01

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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.