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Finding the Fourth Proportional to 15,536.25, 21,442.05 and 9,248.63

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Solution

The fourth proportional to 15,536.25, 21,442.05 and 9,248.63 is: 12,764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.25 : 21,442.05 = 9,248.63 : x
  2. Step 2: Convert to fraction form
    15,536.25/21,442.05 = 9,248.63/x
  3. Step 3: Cross multiply
    15,536.25x = 21,442.05 × 9,248.63
  4. Step 4: Simplify right side
    15,536.25x = 198,309,479.68
  5. Step 5: Solve for x
    x = 198,309,479.68/15,536.25
  6. Step 6: Final answer
    x = 12,764.31

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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.