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Finding the Fourth Proportional to 13,813.74, 19,062.72 and 7,526.16

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Solution

The fourth proportional to 13,813.74, 19,062.72 and 7,526.16 is: 10,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.74 : 19,062.72 = 7,526.16 : x
  2. Step 2: Convert to fraction form
    13,813.74/19,062.72 = 7,526.16/x
  3. Step 3: Cross multiply
    13,813.74x = 19,062.72 × 7,526.16
  4. Step 4: Simplify right side
    13,813.74x = 143,469,080.76
  5. Step 5: Solve for x
    x = 143,469,080.76/13,813.74
  6. Step 6: Final answer
    x = 10,385.97

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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.