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Finding the Fourth Proportional to 21,829.11, 30,123.14 and 12,397.47

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Solution

The fourth proportional to 21,829.11, 30,123.14 and 12,397.47 is: 17,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.11 : 30,123.14 = 12,397.47 : x
  2. Step 2: Convert to fraction form
    21,829.11/30,123.14 = 12,397.47/x
  3. Step 3: Cross multiply
    21,829.11x = 30,123.14 × 12,397.47
  4. Step 4: Simplify right side
    21,829.11x = 373,450,662.47
  5. Step 5: Solve for x
    x = 373,450,662.47/21,829.11
  6. Step 6: Final answer
    x = 17,107.92

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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.