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Finding the Fourth Proportional to 15,622, 23,427.36 and 6,264.16

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Solution

The fourth proportional to 15,622, 23,427.36 and 6,264.16 is: 9,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,622 : 23,427.36 = 6,264.16 : x
  2. Step 2: Convert to fraction form
    15,622/23,427.36 = 6,264.16/x
  3. Step 3: Cross multiply
    15,622x = 23,427.36 × 6,264.16
  4. Step 4: Simplify right side
    15,622x = 146,752,731.42
  5. Step 5: Solve for x
    x = 146,752,731.42/15,622
  6. Step 6: Final answer
    x = 9,393.98

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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.