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Finding the Fourth Proportional to 12,386.01, 17,106.78 and 8,400.21

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Solution

The fourth proportional to 12,386.01, 17,106.78 and 8,400.21 is: 11,601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.01 : 17,106.78 = 8,400.21 : x
  2. Step 2: Convert to fraction form
    12,386.01/17,106.78 = 8,400.21/x
  3. Step 3: Cross multiply
    12,386.01x = 17,106.78 × 8,400.21
  4. Step 4: Simplify right side
    12,386.01x = 143,700,544.42
  5. Step 5: Solve for x
    x = 143,700,544.42/12,386.01
  6. Step 6: Final answer
    x = 11,601.84

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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.