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Finding the Fourth Proportional to 12,767.40, 17,618.70 and 7,102.16

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Solution

The fourth proportional to 12,767.40, 17,618.70 and 7,102.16 is: 9,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.40 : 17,618.70 = 7,102.16 : x
  2. Step 2: Convert to fraction form
    12,767.40/17,618.70 = 7,102.16/x
  3. Step 3: Cross multiply
    12,767.40x = 17,618.70 × 7,102.16
  4. Step 4: Simplify right side
    12,767.40x = 125,130,826.39
  5. Step 5: Solve for x
    x = 125,130,826.39/12,767.40
  6. Step 6: Final answer
    x = 9,800.81

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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.