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Finding the Fourth Proportional to 27,782.38, 38,339.95 and 15,207.40

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Solution

The fourth proportional to 27,782.38, 38,339.95 and 15,207.40 is: 20,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,782.38 : 38,339.95 = 15,207.40 : x
  2. Step 2: Convert to fraction form
    27,782.38/38,339.95 = 15,207.40/x
  3. Step 3: Cross multiply
    27,782.38x = 38,339.95 × 15,207.40
  4. Step 4: Simplify right side
    27,782.38x = 583,050,955.63
  5. Step 5: Solve for x
    x = 583,050,955.63/27,782.38
  6. Step 6: Final answer
    x = 20,986.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.