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Finding the Fourth Proportional to 19,951.77, 29,925.24 and 5,159.46

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Solution

The fourth proportional to 19,951.77, 29,925.24 and 5,159.46 is: 7,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,951.77 : 29,925.24 = 5,159.46 : x
  2. Step 2: Convert to fraction form
    19,951.77/29,925.24 = 5,159.46/x
  3. Step 3: Cross multiply
    19,951.77x = 29,925.24 × 5,159.46
  4. Step 4: Simplify right side
    19,951.77x = 154,398,078.77
  5. Step 5: Solve for x
    x = 154,398,078.77/19,951.77
  6. Step 6: Final answer
    x = 7,738.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.