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Finding the Fourth Proportional to 12,366.42, 17,065.80 and 7,064.16

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Solution

The fourth proportional to 12,366.42, 17,065.80 and 7,064.16 is: 9,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366.42 : 17,065.80 = 7,064.16 : x
  2. Step 2: Convert to fraction form
    12,366.42/17,065.80 = 7,064.16/x
  3. Step 3: Cross multiply
    12,366.42x = 17,065.80 × 7,064.16
  4. Step 4: Simplify right side
    12,366.42x = 120,555,541.73
  5. Step 5: Solve for x
    x = 120,555,541.73/12,366.42
  6. Step 6: Final answer
    x = 9,748.62

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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.