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Finding the Fourth Proportional to 15,803.52, 23,708.79 and 5,415

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Solution

The fourth proportional to 15,803.52, 23,708.79 and 5,415 is: 8,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,803.52 : 23,708.79 = 5,415 : x
  2. Step 2: Convert to fraction form
    15,803.52/23,708.79 = 5,415/x
  3. Step 3: Cross multiply
    15,803.52x = 23,708.79 × 5,415
  4. Step 4: Simplify right side
    15,803.52x = 128,383,097.85
  5. Step 5: Solve for x
    x = 128,383,097.85/15,803.52
  6. Step 6: Final answer
    x = 8,123.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.