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Finding the Fourth Proportional to 27,947, 38,567.06 and 15,371.76

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Solution

The fourth proportional to 27,947, 38,567.06 and 15,371.76 is: 21,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,947 : 38,567.06 = 15,371.76 : x
  2. Step 2: Convert to fraction form
    27,947/38,567.06 = 15,371.76/x
  3. Step 3: Cross multiply
    27,947x = 38,567.06 × 15,371.76
  4. Step 4: Simplify right side
    27,947x = 592,843,590.23
  5. Step 5: Solve for x
    x = 592,843,590.23/27,947
  6. Step 6: Final answer
    x = 21,213.14

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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.