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Finding the Fourth Proportional to 15,877.84, 23,811.64 and 5,345

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Solution

The fourth proportional to 15,877.84, 23,811.64 and 5,345 is: 8,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.84 : 23,811.64 = 5,345 : x
  2. Step 2: Convert to fraction form
    15,877.84/23,811.64 = 5,345/x
  3. Step 3: Cross multiply
    15,877.84x = 23,811.64 × 5,345
  4. Step 4: Simplify right side
    15,877.84x = 127,273,215.80
  5. Step 5: Solve for x
    x = 127,273,215.80/15,877.84
  6. Step 6: Final answer
    x = 8,015.78

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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.