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Finding the Fourth Proportional to 21,006.16, 31,489.77 and 7,848.52

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Solution

The fourth proportional to 21,006.16, 31,489.77 and 7,848.52 is: 11,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.16 : 31,489.77 = 7,848.52 : x
  2. Step 2: Convert to fraction form
    21,006.16/31,489.77 = 7,848.52/x
  3. Step 3: Cross multiply
    21,006.16x = 31,489.77 × 7,848.52
  4. Step 4: Simplify right side
    21,006.16x = 247,148,089.64
  5. Step 5: Solve for x
    x = 247,148,089.64/21,006.16
  6. Step 6: Final answer
    x = 11,765.51

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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.