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Finding the Fourth Proportional to 17,577.28, 26,368.24 and 6,491.76

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Solution

The fourth proportional to 17,577.28, 26,368.24 and 6,491.76 is: 9,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.28 : 26,368.24 = 6,491.76 : x
  2. Step 2: Convert to fraction form
    17,577.28/26,368.24 = 6,491.76/x
  3. Step 3: Cross multiply
    17,577.28x = 26,368.24 × 6,491.76
  4. Step 4: Simplify right side
    17,577.28x = 171,176,285.70
  5. Step 5: Solve for x
    x = 171,176,285.70/17,577.28
  6. Step 6: Final answer
    x = 9,738.50

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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.