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Finding the Fourth Proportional to 17,232.12, 25,848.09 and 6,709.46

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Solution

The fourth proportional to 17,232.12, 25,848.09 and 6,709.46 is: 10,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,232.12 : 25,848.09 = 6,709.46 : x
  2. Step 2: Convert to fraction form
    17,232.12/25,848.09 = 6,709.46/x
  3. Step 3: Cross multiply
    17,232.12x = 25,848.09 × 6,709.46
  4. Step 4: Simplify right side
    17,232.12x = 173,426,839.02
  5. Step 5: Solve for x
    x = 173,426,839.02/17,232.12
  6. Step 6: Final answer
    x = 10,064.16

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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.