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Finding the Fourth Proportional to 21,689.22, 32,533.38 and 6,898.17

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Solution

The fourth proportional to 21,689.22, 32,533.38 and 6,898.17 is: 10,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.22 : 32,533.38 = 6,898.17 : x
  2. Step 2: Convert to fraction form
    21,689.22/32,533.38 = 6,898.17/x
  3. Step 3: Cross multiply
    21,689.22x = 32,533.38 × 6,898.17
  4. Step 4: Simplify right side
    21,689.22x = 224,420,785.91
  5. Step 5: Solve for x
    x = 224,420,785.91/21,689.22
  6. Step 6: Final answer
    x = 10,347.11

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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.