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Finding the Fourth Proportional to 22,442.40, 30,970.50 and 13,016.42

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Solution

The fourth proportional to 22,442.40, 30,970.50 and 13,016.42 is: 17,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.40 : 30,970.50 = 13,016.42 : x
  2. Step 2: Convert to fraction form
    22,442.40/30,970.50 = 13,016.42/x
  3. Step 3: Cross multiply
    22,442.40x = 30,970.50 × 13,016.42
  4. Step 4: Simplify right side
    22,442.40x = 403,125,035.61
  5. Step 5: Solve for x
    x = 403,125,035.61/22,442.40
  6. Step 6: Final answer
    x = 17,962.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.