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Finding the Fourth Proportional to 15,782.48, 21,782.18 and 10,123.61

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Solution

The fourth proportional to 15,782.48, 21,782.18 and 10,123.61 is: 13,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.48 : 21,782.18 = 10,123.61 : x
  2. Step 2: Convert to fraction form
    15,782.48/21,782.18 = 10,123.61/x
  3. Step 3: Cross multiply
    15,782.48x = 21,782.18 × 10,123.61
  4. Step 4: Simplify right side
    15,782.48x = 220,514,135.74
  5. Step 5: Solve for x
    x = 220,514,135.74/15,782.48
  6. Step 6: Final answer
    x = 13,972.09

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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.