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Finding the Fourth Proportional to 11,642.88, 17,469.72 and 9,476.40

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Solution

The fourth proportional to 11,642.88, 17,469.72 and 9,476.40 is: 14,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.88 : 17,469.72 = 9,476.40 : x
  2. Step 2: Convert to fraction form
    11,642.88/17,469.72 = 9,476.40/x
  3. Step 3: Cross multiply
    11,642.88x = 17,469.72 × 9,476.40
  4. Step 4: Simplify right side
    11,642.88x = 165,550,054.61
  5. Step 5: Solve for x
    x = 165,550,054.61/11,642.88
  6. Step 6: Final answer
    x = 14,219.00

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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.