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Finding the Fourth Proportional to 14,717.19, 20,309.86 and 8,002.88

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Solution

The fourth proportional to 14,717.19, 20,309.86 and 8,002.88 is: 11,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,717.19 : 20,309.86 = 8,002.88 : x
  2. Step 2: Convert to fraction form
    14,717.19/20,309.86 = 8,002.88/x
  3. Step 3: Cross multiply
    14,717.19x = 20,309.86 × 8,002.88
  4. Step 4: Simplify right side
    14,717.19x = 162,537,357.01
  5. Step 5: Solve for x
    x = 162,537,357.01/14,717.19
  6. Step 6: Final answer
    x = 11,044.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.