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Finding the Fourth Proportional to 27,913.82, 38,510.10 and 15,970.77

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Solution

The fourth proportional to 27,913.82, 38,510.10 and 15,970.77 is: 22,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,913.82 : 38,510.10 = 15,970.77 : x
  2. Step 2: Convert to fraction form
    27,913.82/38,510.10 = 15,970.77/x
  3. Step 3: Cross multiply
    27,913.82x = 38,510.10 × 15,970.77
  4. Step 4: Simplify right side
    27,913.82x = 615,035,949.78
  5. Step 5: Solve for x
    x = 615,035,949.78/27,913.82
  6. Step 6: Final answer
    x = 22,033.39

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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.