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Finding the Fourth Proportional to 12,818.36, 17,689.47 and 7,153.64

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Solution

The fourth proportional to 12,818.36, 17,689.47 and 7,153.64 is: 9,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.36 : 17,689.47 = 7,153.64 : x
  2. Step 2: Convert to fraction form
    12,818.36/17,689.47 = 7,153.64/x
  3. Step 3: Cross multiply
    12,818.36x = 17,689.47 × 7,153.64
  4. Step 4: Simplify right side
    12,818.36x = 126,544,100.17
  5. Step 5: Solve for x
    x = 126,544,100.17/12,818.36
  6. Step 6: Final answer
    x = 9,872.10

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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.