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Finding the Fourth Proportional to 21,026.32, 29,011.20 and 12,523

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Solution

The fourth proportional to 21,026.32, 29,011.20 and 12,523 is: 17,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,026.32 : 29,011.20 = 12,523 : x
  2. Step 2: Convert to fraction form
    21,026.32/29,011.20 = 12,523/x
  3. Step 3: Cross multiply
    21,026.32x = 29,011.20 × 12,523
  4. Step 4: Simplify right side
    21,026.32x = 363,307,257.60
  5. Step 5: Solve for x
    x = 363,307,257.60/21,026.32
  6. Step 6: Final answer
    x = 17,278.69

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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.