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Finding the Fourth Proportional to 22,521.47, 33,782.90 and 7,730.19

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Solution

The fourth proportional to 22,521.47, 33,782.90 and 7,730.19 is: 11,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,521.47 : 33,782.90 = 7,730.19 : x
  2. Step 2: Convert to fraction form
    22,521.47/33,782.90 = 7,730.19/x
  3. Step 3: Cross multiply
    22,521.47x = 33,782.90 × 7,730.19
  4. Step 4: Simplify right side
    22,521.47x = 261,148,197.10
  5. Step 5: Solve for x
    x = 261,148,197.10/22,521.47
  6. Step 6: Final answer
    x = 11,595.52

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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.