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Finding the Fourth Proportional to 21,870.24, 32,805.09 and 7,078.83

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Solution

The fourth proportional to 21,870.24, 32,805.09 and 7,078.83 is: 10,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,870.24 : 32,805.09 = 7,078.83 : x
  2. Step 2: Convert to fraction form
    21,870.24/32,805.09 = 7,078.83/x
  3. Step 3: Cross multiply
    21,870.24x = 32,805.09 × 7,078.83
  4. Step 4: Simplify right side
    21,870.24x = 232,221,655.24
  5. Step 5: Solve for x
    x = 232,221,655.24/21,870.24
  6. Step 6: Final answer
    x = 10,618.16

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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.