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Finding the Fourth Proportional to 21,013.39, 31,520.07 and 7,871.95

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Solution

The fourth proportional to 21,013.39, 31,520.07 and 7,871.95 is: 11,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.39 : 31,520.07 = 7,871.95 : x
  2. Step 2: Convert to fraction form
    21,013.39/31,520.07 = 7,871.95/x
  3. Step 3: Cross multiply
    21,013.39x = 31,520.07 × 7,871.95
  4. Step 4: Simplify right side
    21,013.39x = 248,124,415.04
  5. Step 5: Solve for x
    x = 248,124,415.04/21,013.39
  6. Step 6: Final answer
    x = 11,807.92

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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.