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Finding the Fourth Proportional to 17,785.10, 26,642.55 and 9,026.30

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Solution

The fourth proportional to 17,785.10, 26,642.55 and 9,026.30 is: 13,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.10 : 26,642.55 = 9,026.30 : x
  2. Step 2: Convert to fraction form
    17,785.10/26,642.55 = 9,026.30/x
  3. Step 3: Cross multiply
    17,785.10x = 26,642.55 × 9,026.30
  4. Step 4: Simplify right side
    17,785.10x = 240,483,649.07
  5. Step 5: Solve for x
    x = 240,483,649.07/17,785.10
  6. Step 6: Final answer
    x = 13,521.64

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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.