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Finding the Fourth Proportional to 21,359.53, 32,042.37 and 6,569.70

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Solution

The fourth proportional to 21,359.53, 32,042.37 and 6,569.70 is: 9,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,359.53 : 32,042.37 = 6,569.70 : x
  2. Step 2: Convert to fraction form
    21,359.53/32,042.37 = 6,569.70/x
  3. Step 3: Cross multiply
    21,359.53x = 32,042.37 × 6,569.70
  4. Step 4: Simplify right side
    21,359.53x = 210,508,758.19
  5. Step 5: Solve for x
    x = 210,508,758.19/21,359.53
  6. Step 6: Final answer
    x = 9,855.50

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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.