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Finding the Fourth Proportional to 17,617.40, 24,312.00 and 9,659.76

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Solution

The fourth proportional to 17,617.40, 24,312.00 and 9,659.76 is: 13,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.40 : 24,312.00 = 9,659.76 : x
  2. Step 2: Convert to fraction form
    17,617.40/24,312.00 = 9,659.76/x
  3. Step 3: Cross multiply
    17,617.40x = 24,312.00 × 9,659.76
  4. Step 4: Simplify right side
    17,617.40x = 234,847,975.84
  5. Step 5: Solve for x
    x = 234,847,975.84/17,617.40
  6. Step 6: Final answer
    x = 13,330.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.