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Finding the Fourth Proportional to 17,875.12, 26,802.78 and 8,023.84

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Solution

The fourth proportional to 17,875.12, 26,802.78 and 8,023.84 is: 12,031.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.12 : 26,802.78 = 8,023.84 : x
  2. Step 2: Convert to fraction form
    17,875.12/26,802.78 = 8,023.84/x
  3. Step 3: Cross multiply
    17,875.12x = 26,802.78 × 8,023.84
  4. Step 4: Simplify right side
    17,875.12x = 215,061,218.28
  5. Step 5: Solve for x
    x = 215,061,218.28/17,875.12
  6. Step 6: Final answer
    x = 12,031.32

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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.