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Finding the Fourth Proportional to 21,569.76, 32,343.84 and 9,873

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Solution

The fourth proportional to 21,569.76, 32,343.84 and 9,873 is: 14,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,569.76 : 32,343.84 = 9,873 : x
  2. Step 2: Convert to fraction form
    21,569.76/32,343.84 = 9,873/x
  3. Step 3: Cross multiply
    21,569.76x = 32,343.84 × 9,873
  4. Step 4: Simplify right side
    21,569.76x = 319,330,732.32
  5. Step 5: Solve for x
    x = 319,330,732.32/21,569.76
  6. Step 6: Final answer
    x = 14,804.56

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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.