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Finding the Fourth Proportional to 22,765.53, 34,147.10 and 6,970.58

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Solution

The fourth proportional to 22,765.53, 34,147.10 and 6,970.58 is: 10,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.53 : 34,147.10 = 6,970.58 : x
  2. Step 2: Convert to fraction form
    22,765.53/34,147.10 = 6,970.58/x
  3. Step 3: Cross multiply
    22,765.53x = 34,147.10 × 6,970.58
  4. Step 4: Simplify right side
    22,765.53x = 238,024,886.73
  5. Step 5: Solve for x
    x = 238,024,886.73/22,765.53
  6. Step 6: Final answer
    x = 10,455.50

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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.