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Finding the Fourth Proportional to 15,822.41, 23,719.03 and 8,029.40

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Solution

The fourth proportional to 15,822.41, 23,719.03 and 8,029.40 is: 12,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.41 : 23,719.03 = 8,029.40 : x
  2. Step 2: Convert to fraction form
    15,822.41/23,719.03 = 8,029.40/x
  3. Step 3: Cross multiply
    15,822.41x = 23,719.03 × 8,029.40
  4. Step 4: Simplify right side
    15,822.41x = 190,449,440.81
  5. Step 5: Solve for x
    x = 190,449,440.81/15,822.41
  6. Step 6: Final answer
    x = 12,036.69

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Why These Related Problems?

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