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Finding the Fourth Proportional to 24,577.47, 36,866.17 and 7,047.28

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Solution

The fourth proportional to 24,577.47, 36,866.17 and 7,047.28 is: 10,570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.47 : 36,866.17 = 7,047.28 : x
  2. Step 2: Convert to fraction form
    24,577.47/36,866.17 = 7,047.28/x
  3. Step 3: Cross multiply
    24,577.47x = 36,866.17 × 7,047.28
  4. Step 4: Simplify right side
    24,577.47x = 259,806,277.41
  5. Step 5: Solve for x
    x = 259,806,277.41/24,577.47
  6. Step 6: Final answer
    x = 10,570.91

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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.