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Finding the Fourth Proportional to 27,782.68, 38,346.78 and 15,853

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Solution

The fourth proportional to 27,782.68, 38,346.78 and 15,853 is: 21,880.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.68 : 38,346.78 = 15,853 : x
  2. Step 2: Convert to fraction form
    27,782.68/38,346.78 = 15,853/x
  3. Step 3: Cross multiply
    27,782.68x = 38,346.78 × 15,853
  4. Step 4: Simplify right side
    27,782.68x = 607,911,503.34
  5. Step 5: Solve for x
    x = 607,911,503.34/27,782.68
  6. Step 6: Final answer
    x = 21,880.95

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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.