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Finding the Fourth Proportional to 13,883.81, 19,159.74 and 7,596.18

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Solution

The fourth proportional to 13,883.81, 19,159.74 and 7,596.18 is: 10,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.81 : 19,159.74 = 7,596.18 : x
  2. Step 2: Convert to fraction form
    13,883.81/19,159.74 = 7,596.18/x
  3. Step 3: Cross multiply
    13,883.81x = 19,159.74 × 7,596.18
  4. Step 4: Simplify right side
    13,883.81x = 145,540,833.79
  5. Step 5: Solve for x
    x = 145,540,833.79/13,883.81
  6. Step 6: Final answer
    x = 10,482.78

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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.