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Finding the Fourth Proportional to 21,521.86, 29,694.95 and 12,564.24

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Solution

The fourth proportional to 21,521.86, 29,694.95 and 12,564.24 is: 17,335.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,521.86 : 29,694.95 = 12,564.24 : x
  2. Step 2: Convert to fraction form
    21,521.86/29,694.95 = 12,564.24/x
  3. Step 3: Cross multiply
    21,521.86x = 29,694.95 × 12,564.24
  4. Step 4: Simplify right side
    21,521.86x = 373,094,478.59
  5. Step 5: Solve for x
    x = 373,094,478.59/21,521.86
  6. Step 6: Final answer
    x = 17,335.61

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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.