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Finding the Fourth Proportional to 22,442.32, 30,970.62 and 12,371.14

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Solution

The fourth proportional to 22,442.32, 30,970.62 and 12,371.14 is: 17,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.32 : 30,970.62 = 12,371.14 : x
  2. Step 2: Convert to fraction form
    22,442.32/30,970.62 = 12,371.14/x
  3. Step 3: Cross multiply
    22,442.32x = 30,970.62 × 12,371.14
  4. Step 4: Simplify right side
    22,442.32x = 383,141,875.91
  5. Step 5: Solve for x
    x = 383,141,875.91/22,442.32
  6. Step 6: Final answer
    x = 17,072.29

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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.