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Finding the Fourth Proportional to 27,199, 37,534.50 and 15,868.96

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Solution

The fourth proportional to 27,199, 37,534.50 and 15,868.96 is: 21,899.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199 : 37,534.50 = 15,868.96 : x
  2. Step 2: Convert to fraction form
    27,199/37,534.50 = 15,868.96/x
  3. Step 3: Cross multiply
    27,199x = 37,534.50 × 15,868.96
  4. Step 4: Simplify right side
    27,199x = 595,633,479.12
  5. Step 5: Solve for x
    x = 595,633,479.12/27,199
  6. Step 6: Final answer
    x = 21,899.09

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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.