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Finding the Fourth Proportional to 21,947.10, 32,920.65 and 6,152.10

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Solution

The fourth proportional to 21,947.10, 32,920.65 and 6,152.10 is: 9,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,947.10 : 32,920.65 = 6,152.10 : x
  2. Step 2: Convert to fraction form
    21,947.10/32,920.65 = 6,152.10/x
  3. Step 3: Cross multiply
    21,947.10x = 32,920.65 × 6,152.10
  4. Step 4: Simplify right side
    21,947.10x = 202,531,130.87
  5. Step 5: Solve for x
    x = 202,531,130.87/21,947.10
  6. Step 6: Final answer
    x = 9,228.15

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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.