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Finding the Fourth Proportional to 17,830.64, 26,727.96 and 12,888.20

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Solution

The fourth proportional to 17,830.64, 26,727.96 and 12,888.20 is: 19,319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.64 : 26,727.96 = 12,888.20 : x
  2. Step 2: Convert to fraction form
    17,830.64/26,727.96 = 12,888.20/x
  3. Step 3: Cross multiply
    17,830.64x = 26,727.96 × 12,888.20
  4. Step 4: Simplify right side
    17,830.64x = 344,475,294.07
  5. Step 5: Solve for x
    x = 344,475,294.07/17,830.64
  6. Step 6: Final answer
    x = 19,319.29

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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.