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Finding the Fourth Proportional to 11,618.84, 17,422.80 and 4,221.32

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Solution

The fourth proportional to 11,618.84, 17,422.80 and 4,221.32 is: 6,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.84 : 17,422.80 = 4,221.32 : x
  2. Step 2: Convert to fraction form
    11,618.84/17,422.80 = 4,221.32/x
  3. Step 3: Cross multiply
    11,618.84x = 17,422.80 × 4,221.32
  4. Step 4: Simplify right side
    11,618.84x = 73,547,111.15
  5. Step 5: Solve for x
    x = 73,547,111.15/11,618.84
  6. Step 6: Final answer
    x = 6,329.99

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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.