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Finding the Fourth Proportional to 17,733.76, 24,472.28 and 9,776.72

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Solution

The fourth proportional to 17,733.76, 24,472.28 and 9,776.72 is: 13,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.76 : 24,472.28 = 9,776.72 : x
  2. Step 2: Convert to fraction form
    17,733.76/24,472.28 = 9,776.72/x
  3. Step 3: Cross multiply
    17,733.76x = 24,472.28 × 9,776.72
  4. Step 4: Simplify right side
    17,733.76x = 239,258,629.32
  5. Step 5: Solve for x
    x = 239,258,629.32/17,733.76
  6. Step 6: Final answer
    x = 13,491.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.