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Finding the Fourth Proportional to 12,366.10, 17,065.19 and 6,701

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Solution

The fourth proportional to 12,366.10, 17,065.19 and 6,701 is: 9,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366.10 : 17,065.19 = 6,701 : x
  2. Step 2: Convert to fraction form
    12,366.10/17,065.19 = 6,701/x
  3. Step 3: Cross multiply
    12,366.10x = 17,065.19 × 6,701
  4. Step 4: Simplify right side
    12,366.10x = 114,353,838.19
  5. Step 5: Solve for x
    x = 114,353,838.19/12,366.10
  6. Step 6: Final answer
    x = 9,247.36

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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.