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Finding the Fourth Proportional to 13,186.16, 19,772.84 and 4,870.10

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Solution

The fourth proportional to 13,186.16, 19,772.84 and 4,870.10 is: 7,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.16 : 19,772.84 = 4,870.10 : x
  2. Step 2: Convert to fraction form
    13,186.16/19,772.84 = 4,870.10/x
  3. Step 3: Cross multiply
    13,186.16x = 19,772.84 × 4,870.10
  4. Step 4: Simplify right side
    13,186.16x = 96,295,584.87
  5. Step 5: Solve for x
    x = 96,295,584.87/13,186.16
  6. Step 6: Final answer
    x = 7,302.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.