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Finding the Fourth Proportional to 13,953.32, 19,255.71 and 7,665.83

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Solution

The fourth proportional to 13,953.32, 19,255.71 and 7,665.83 is: 10,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.32 : 19,255.71 = 7,665.83 : x
  2. Step 2: Convert to fraction form
    13,953.32/19,255.71 = 7,665.83/x
  3. Step 3: Cross multiply
    13,953.32x = 19,255.71 × 7,665.83
  4. Step 4: Simplify right side
    13,953.32x = 147,610,864.78
  5. Step 5: Solve for x
    x = 147,610,864.78/13,953.32
  6. Step 6: Final answer
    x = 10,578.91

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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.