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Finding the Fourth Proportional to 13,870.65, 19,140.02 and 8,205.61

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Solution

The fourth proportional to 13,870.65, 19,140.02 and 8,205.61 is: 11,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.65 : 19,140.02 = 8,205.61 : x
  2. Step 2: Convert to fraction form
    13,870.65/19,140.02 = 8,205.61/x
  3. Step 3: Cross multiply
    13,870.65x = 19,140.02 × 8,205.61
  4. Step 4: Simplify right side
    13,870.65x = 157,055,539.51
  5. Step 5: Solve for x
    x = 157,055,539.51/13,870.65
  6. Step 6: Final answer
    x = 11,322.87

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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.