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Finding the Fourth Proportional to 27,897, 38,498.13 and 15,322.02

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Solution

The fourth proportional to 27,897, 38,498.13 and 15,322.02 is: 21,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897 : 38,498.13 = 15,322.02 : x
  2. Step 2: Convert to fraction form
    27,897/38,498.13 = 15,322.02/x
  3. Step 3: Cross multiply
    27,897x = 38,498.13 × 15,322.02
  4. Step 4: Simplify right side
    27,897x = 589,869,117.82
  5. Step 5: Solve for x
    x = 589,869,117.82/27,897
  6. Step 6: Final answer
    x = 21,144.54

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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.