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Finding the Fourth Proportional to 21,569.31, 32,356.94 and 9,721.44

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Solution

The fourth proportional to 21,569.31, 32,356.94 and 9,721.44 is: 14,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,569.31 : 32,356.94 = 9,721.44 : x
  2. Step 2: Convert to fraction form
    21,569.31/32,356.94 = 9,721.44/x
  3. Step 3: Cross multiply
    21,569.31x = 32,356.94 × 9,721.44
  4. Step 4: Simplify right side
    21,569.31x = 314,556,002.19
  5. Step 5: Solve for x
    x = 314,556,002.19/21,569.31
  6. Step 6: Final answer
    x = 14,583.50

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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.