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Finding the Fourth Proportional to 21,547.42, 32,321.07 and 5,965

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Solution

The fourth proportional to 21,547.42, 32,321.07 and 5,965 is: 8,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.42 : 32,321.07 = 5,965 : x
  2. Step 2: Convert to fraction form
    21,547.42/32,321.07 = 5,965/x
  3. Step 3: Cross multiply
    21,547.42x = 32,321.07 × 5,965
  4. Step 4: Simplify right side
    21,547.42x = 192,795,182.55
  5. Step 5: Solve for x
    x = 192,795,182.55/21,547.42
  6. Step 6: Final answer
    x = 8,947.48

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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.