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Finding the Fourth Proportional to 21,356.52, 32,029.62 and 9,503.88

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Solution

The fourth proportional to 21,356.52, 32,029.62 and 9,503.88 is: 14,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356.52 : 32,029.62 = 9,503.88 : x
  2. Step 2: Convert to fraction form
    21,356.52/32,029.62 = 9,503.88/x
  3. Step 3: Cross multiply
    21,356.52x = 32,029.62 × 9,503.88
  4. Step 4: Simplify right side
    21,356.52x = 304,405,664.93
  5. Step 5: Solve for x
    x = 304,405,664.93/21,356.52
  6. Step 6: Final answer
    x = 14,253.52

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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.