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Finding the Fourth Proportional to 23,200.02, 34,803.88 and 7,614

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Solution

The fourth proportional to 23,200.02, 34,803.88 and 7,614 is: 11,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,200.02 : 34,803.88 = 7,614 : x
  2. Step 2: Convert to fraction form
    23,200.02/34,803.88 = 7,614/x
  3. Step 3: Cross multiply
    23,200.02x = 34,803.88 × 7,614
  4. Step 4: Simplify right side
    23,200.02x = 264,996,723.29
  5. Step 5: Solve for x
    x = 264,996,723.29/23,200.02
  6. Step 6: Final answer
    x = 11,422.26

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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.