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Finding the Fourth Proportional to 21,541.72, 32,314.90 and 9,063.02

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Solution

The fourth proportional to 21,541.72, 32,314.90 and 9,063.02 is: 13,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,541.72 : 32,314.90 = 9,063.02 : x
  2. Step 2: Convert to fraction form
    21,541.72/32,314.90 = 9,063.02/x
  3. Step 3: Cross multiply
    21,541.72x = 32,314.90 × 9,063.02
  4. Step 4: Simplify right side
    21,541.72x = 292,870,378.11
  5. Step 5: Solve for x
    x = 292,870,378.11/21,541.72
  6. Step 6: Final answer
    x = 13,595.50

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Why These Related Problems?

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