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Finding the Fourth Proportional to 24,477.50, 36,732.65 and 15,718.56

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Solution

The fourth proportional to 24,477.50, 36,732.65 and 15,718.56 is: 23,588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.50 : 36,732.65 = 15,718.56 : x
  2. Step 2: Convert to fraction form
    24,477.50/36,732.65 = 15,718.56/x
  3. Step 3: Cross multiply
    24,477.50x = 36,732.65 × 15,718.56
  4. Step 4: Simplify right side
    24,477.50x = 577,384,362.98
  5. Step 5: Solve for x
    x = 577,384,362.98/24,477.50
  6. Step 6: Final answer
    x = 23,588.37

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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.