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Finding the Fourth Proportional to 24,534.03, 36,803.28 and 7,889.95

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Solution

The fourth proportional to 24,534.03, 36,803.28 and 7,889.95 is: 11,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.03 : 36,803.28 = 7,889.95 : x
  2. Step 2: Convert to fraction form
    24,534.03/36,803.28 = 7,889.95/x
  3. Step 3: Cross multiply
    24,534.03x = 36,803.28 × 7,889.95
  4. Step 4: Simplify right side
    24,534.03x = 290,376,039.04
  5. Step 5: Solve for x
    x = 290,376,039.04/24,534.03
  6. Step 6: Final answer
    x = 11,835.64

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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.