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Finding the Fourth Proportional to 21,364.29, 32,034.69 and 6,569.10

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Solution

The fourth proportional to 21,364.29, 32,034.69 and 6,569.10 is: 9,850.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.29 : 32,034.69 = 6,569.10 : x
  2. Step 2: Convert to fraction form
    21,364.29/32,034.69 = 6,569.10/x
  3. Step 3: Cross multiply
    21,364.29x = 32,034.69 × 6,569.10
  4. Step 4: Simplify right side
    21,364.29x = 210,439,082.08
  5. Step 5: Solve for x
    x = 210,439,082.08/21,364.29
  6. Step 6: Final answer
    x = 9,850.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.