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Finding the Fourth Proportional to 17,665.79, 26,498.84 and 5,186.02

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Solution

The fourth proportional to 17,665.79, 26,498.84 and 5,186.02 is: 7,779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.79 : 26,498.84 = 5,186.02 : x
  2. Step 2: Convert to fraction form
    17,665.79/26,498.84 = 5,186.02/x
  3. Step 3: Cross multiply
    17,665.79x = 26,498.84 × 5,186.02
  4. Step 4: Simplify right side
    17,665.79x = 137,423,514.22
  5. Step 5: Solve for x
    x = 137,423,514.22/17,665.79
  6. Step 6: Final answer
    x = 7,779.08

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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.