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Finding the Fourth Proportional to 12,001.32, 18,001.96 and 6,840

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Solution

The fourth proportional to 12,001.32, 18,001.96 and 6,840 is: 10,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.32 : 18,001.96 = 6,840 : x
  2. Step 2: Convert to fraction form
    12,001.32/18,001.96 = 6,840/x
  3. Step 3: Cross multiply
    12,001.32x = 18,001.96 × 6,840
  4. Step 4: Simplify right side
    12,001.32x = 123,133,406.40
  5. Step 5: Solve for x
    x = 123,133,406.40/12,001.32
  6. Step 6: Final answer
    x = 10,259.99

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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.