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Finding the Fourth Proportional to 21,568.32, 32,352.47 and 9,881.54

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Solution

The fourth proportional to 21,568.32, 32,352.47 and 9,881.54 is: 14,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.32 : 32,352.47 = 9,881.54 : x
  2. Step 2: Convert to fraction form
    21,568.32/32,352.47 = 9,881.54/x
  3. Step 3: Cross multiply
    21,568.32x = 32,352.47 × 9,881.54
  4. Step 4: Simplify right side
    21,568.32x = 319,692,089.35
  5. Step 5: Solve for x
    x = 319,692,089.35/21,568.32
  6. Step 6: Final answer
    x = 14,822.30

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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.