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Finding the Fourth Proportional to 21,661.16, 32,482.02 and 9,968

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Solution

The fourth proportional to 21,661.16, 32,482.02 and 9,968 is: 14,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.16 : 32,482.02 = 9,968 : x
  2. Step 2: Convert to fraction form
    21,661.16/32,482.02 = 9,968/x
  3. Step 3: Cross multiply
    21,661.16x = 32,482.02 × 9,968
  4. Step 4: Simplify right side
    21,661.16x = 323,780,775.36
  5. Step 5: Solve for x
    x = 323,780,775.36/21,661.16
  6. Step 6: Final answer
    x = 14,947.53

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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.