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Finding the Fourth Proportional to 22,443.21, 30,970.23 and 12,371.13

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Solution

The fourth proportional to 22,443.21, 30,970.23 and 12,371.13 is: 17,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,443.21 : 30,970.23 = 12,371.13 : x
  2. Step 2: Convert to fraction form
    22,443.21/30,970.23 = 12,371.13/x
  3. Step 3: Cross multiply
    22,443.21x = 30,970.23 × 12,371.13
  4. Step 4: Simplify right side
    22,443.21x = 383,136,586.61
  5. Step 5: Solve for x
    x = 383,136,586.61/22,443.21
  6. Step 6: Final answer
    x = 17,071.38

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Why These Related Problems?

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