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Finding the Fourth Proportional to 21,523, 29,703.36 and 13,141.12

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Solution

The fourth proportional to 21,523, 29,703.36 and 13,141.12 is: 18,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523 : 29,703.36 = 13,141.12 : x
  2. Step 2: Convert to fraction form
    21,523/29,703.36 = 13,141.12/x
  3. Step 3: Cross multiply
    21,523x = 29,703.36 × 13,141.12
  4. Step 4: Simplify right side
    21,523x = 390,335,418.16
  5. Step 5: Solve for x
    x = 390,335,418.16/21,523
  6. Step 6: Final answer
    x = 18,135.73

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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.