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Finding the Fourth Proportional to 12,884.58, 17,779.68 and 7,218.88

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Solution

The fourth proportional to 12,884.58, 17,779.68 and 7,218.88 is: 9,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.58 : 17,779.68 = 7,218.88 : x
  2. Step 2: Convert to fraction form
    12,884.58/17,779.68 = 7,218.88/x
  3. Step 3: Cross multiply
    12,884.58x = 17,779.68 × 7,218.88
  4. Step 4: Simplify right side
    12,884.58x = 128,349,376.36
  5. Step 5: Solve for x
    x = 128,349,376.36/12,884.58
  6. Step 6: Final answer
    x = 9,961.47

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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.