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Finding the Fourth Proportional to 27,988.25, 38,623.79 and 15,413

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Solution

The fourth proportional to 27,988.25, 38,623.79 and 15,413 is: 21,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,988.25 : 38,623.79 = 15,413 : x
  2. Step 2: Convert to fraction form
    27,988.25/38,623.79 = 15,413/x
  3. Step 3: Cross multiply
    27,988.25x = 38,623.79 × 15,413
  4. Step 4: Simplify right side
    27,988.25x = 595,308,475.27
  5. Step 5: Solve for x
    x = 595,308,475.27/27,988.25
  6. Step 6: Final answer
    x = 21,269.94

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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.