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Finding the Fourth Proportional to 21,661.02, 32,487.89 and 6,075

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Solution

The fourth proportional to 21,661.02, 32,487.89 and 6,075 is: 9,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.02 : 32,487.89 = 6,075 : x
  2. Step 2: Convert to fraction form
    21,661.02/32,487.89 = 6,075/x
  3. Step 3: Cross multiply
    21,661.02x = 32,487.89 × 6,075
  4. Step 4: Simplify right side
    21,661.02x = 197,363,901.38
  5. Step 5: Solve for x
    x = 197,363,901.38/21,661.02
  6. Step 6: Final answer
    x = 9,111.48

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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.