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Finding the Fourth Proportional to 22,970.82, 31,670.66 and 15,000.42

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Solution

The fourth proportional to 22,970.82, 31,670.66 and 15,000.42 is: 20,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.82 : 31,670.66 = 15,000.42 : x
  2. Step 2: Convert to fraction form
    22,970.82/31,670.66 = 15,000.42/x
  3. Step 3: Cross multiply
    22,970.82x = 31,670.66 × 15,000.42
  4. Step 4: Simplify right side
    22,970.82x = 475,073,201.68
  5. Step 5: Solve for x
    x = 475,073,201.68/22,970.82
  6. Step 6: Final answer
    x = 20,681.60

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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.