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Finding the Fourth Proportional to 22,427.68, 30,948 and 12,996.80

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Solution

The fourth proportional to 22,427.68, 30,948 and 12,996.80 is: 17,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,427.68 : 30,948 = 12,996.80 : x
  2. Step 2: Convert to fraction form
    22,427.68/30,948 = 12,996.80/x
  3. Step 3: Cross multiply
    22,427.68x = 30,948 × 12,996.80
  4. Step 4: Simplify right side
    22,427.68x = 402,224,966.40
  5. Step 5: Solve for x
    x = 402,224,966.40/22,427.68
  6. Step 6: Final answer
    x = 17,934.31

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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.