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Finding the Fourth Proportional to 27,898, 38,501.04 and 15,965.20

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Solution

The fourth proportional to 27,898, 38,501.04 and 15,965.20 is: 22,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898 : 38,501.04 = 15,965.20 : x
  2. Step 2: Convert to fraction form
    27,898/38,501.04 = 15,965.20/x
  3. Step 3: Cross multiply
    27,898x = 38,501.04 × 15,965.20
  4. Step 4: Simplify right side
    27,898x = 614,676,803.81
  5. Step 5: Solve for x
    x = 614,676,803.81/27,898
  6. Step 6: Final answer
    x = 22,033.01

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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.