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Finding the Fourth Proportional to 21,522.86, 29,696.33 and 12,565.24

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Solution

The fourth proportional to 21,522.86, 29,696.33 and 12,565.24 is: 17,336.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522.86 : 29,696.33 = 12,565.24 : x
  2. Step 2: Convert to fraction form
    21,522.86/29,696.33 = 12,565.24/x
  3. Step 3: Cross multiply
    21,522.86x = 29,696.33 × 12,565.24
  4. Step 4: Simplify right side
    21,522.86x = 373,141,513.57
  5. Step 5: Solve for x
    x = 373,141,513.57/21,522.86
  6. Step 6: Final answer
    x = 17,336.99

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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.