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Finding the Fourth Proportional to 15,867, 23,803.88 and 4,772.76

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Solution

The fourth proportional to 15,867, 23,803.88 and 4,772.76 is: 7,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,867 : 23,803.88 = 4,772.76 : x
  2. Step 2: Convert to fraction form
    15,867/23,803.88 = 4,772.76/x
  3. Step 3: Cross multiply
    15,867x = 23,803.88 × 4,772.76
  4. Step 4: Simplify right side
    15,867x = 113,610,206.31
  5. Step 5: Solve for x
    x = 113,610,206.31/15,867
  6. Step 6: Final answer
    x = 7,160.16

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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.