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Finding the Fourth Proportional to 17,830.20, 26,774.10 and 12,934.20

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Solution

The fourth proportional to 17,830.20, 26,774.10 and 12,934.20 is: 19,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.20 : 26,774.10 = 12,934.20 : x
  2. Step 2: Convert to fraction form
    17,830.20/26,774.10 = 12,934.20/x
  3. Step 3: Cross multiply
    17,830.20x = 26,774.10 × 12,934.20
  4. Step 4: Simplify right side
    17,830.20x = 346,301,564.22
  5. Step 5: Solve for x
    x = 346,301,564.22/17,830.20
  6. Step 6: Final answer
    x = 19,422.19

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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.