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Finding the Fourth Proportional to 27,983.52, 38,617.02 and 15,408

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Solution

The fourth proportional to 27,983.52, 38,617.02 and 15,408 is: 21,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983.52 : 38,617.02 = 15,408 : x
  2. Step 2: Convert to fraction form
    27,983.52/38,617.02 = 15,408/x
  3. Step 3: Cross multiply
    27,983.52x = 38,617.02 × 15,408
  4. Step 4: Simplify right side
    27,983.52x = 595,011,044.16
  5. Step 5: Solve for x
    x = 595,011,044.16/27,983.52
  6. Step 6: Final answer
    x = 21,262.91

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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.