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Finding the Fourth Proportional to 21,364.16, 32,049.27 and 6,574.30

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Solution

The fourth proportional to 21,364.16, 32,049.27 and 6,574.30 is: 9,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.16 : 32,049.27 = 6,574.30 : x
  2. Step 2: Convert to fraction form
    21,364.16/32,049.27 = 6,574.30/x
  3. Step 3: Cross multiply
    21,364.16x = 32,049.27 × 6,574.30
  4. Step 4: Simplify right side
    21,364.16x = 210,701,435.64
  5. Step 5: Solve for x
    x = 210,701,435.64/21,364.16
  6. Step 6: Final answer
    x = 9,862.38

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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.