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Finding the Fourth Proportional to 11,751.32, 17,643.80 and 10,307.92

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Solution

The fourth proportional to 11,751.32, 17,643.80 and 10,307.92 is: 15,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.32 : 17,643.80 = 10,307.92 : x
  2. Step 2: Convert to fraction form
    11,751.32/17,643.80 = 10,307.92/x
  3. Step 3: Cross multiply
    11,751.32x = 17,643.80 × 10,307.92
  4. Step 4: Simplify right side
    11,751.32x = 181,870,878.90
  5. Step 5: Solve for x
    x = 181,870,878.90/11,751.32
  6. Step 6: Final answer
    x = 15,476.63

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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.