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Finding the Fourth Proportional to 13,808.13, 19,055.42 and 7,520.50

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Solution

The fourth proportional to 13,808.13, 19,055.42 and 7,520.50 is: 10,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.13 : 19,055.42 = 7,520.50 : x
  2. Step 2: Convert to fraction form
    13,808.13/19,055.42 = 7,520.50/x
  3. Step 3: Cross multiply
    13,808.13x = 19,055.42 × 7,520.50
  4. Step 4: Simplify right side
    13,808.13x = 143,306,286.11
  5. Step 5: Solve for x
    x = 143,306,286.11/13,808.13
  6. Step 6: Final answer
    x = 10,378.40

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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.