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Finding the Fourth Proportional to 13,431.74, 18,535.88 and 7,381.91

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Solution

The fourth proportional to 13,431.74, 18,535.88 and 7,381.91 is: 10,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.74 : 18,535.88 = 7,381.91 : x
  2. Step 2: Convert to fraction form
    13,431.74/18,535.88 = 7,381.91/x
  3. Step 3: Cross multiply
    13,431.74x = 18,535.88 × 7,381.91
  4. Step 4: Simplify right side
    13,431.74x = 136,830,207.36
  5. Step 5: Solve for x
    x = 136,830,207.36/13,431.74
  6. Step 6: Final answer
    x = 10,187.08

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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.