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Finding the Fourth Proportional to 27,897.75, 38,498.90 and 15,322.50

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Solution

The fourth proportional to 27,897.75, 38,498.90 and 15,322.50 is: 21,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.75 : 38,498.90 = 15,322.50 : x
  2. Step 2: Convert to fraction form
    27,897.75/38,498.90 = 15,322.50/x
  3. Step 3: Cross multiply
    27,897.75x = 38,498.90 × 15,322.50
  4. Step 4: Simplify right side
    27,897.75x = 589,899,318.64
  5. Step 5: Solve for x
    x = 589,899,318.64/27,897.75
  6. Step 6: Final answer
    x = 21,145.05

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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.