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Finding the Fourth Proportional to 13,813.72, 19,062.66 and 7,526.14

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Solution

The fourth proportional to 13,813.72, 19,062.66 and 7,526.14 is: 10,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.72 : 19,062.66 = 7,526.14 : x
  2. Step 2: Convert to fraction form
    13,813.72/19,062.66 = 7,526.14/x
  3. Step 3: Cross multiply
    13,813.72x = 19,062.66 × 7,526.14
  4. Step 4: Simplify right side
    13,813.72x = 143,468,247.93
  5. Step 5: Solve for x
    x = 143,468,247.93/13,813.72
  6. Step 6: Final answer
    x = 10,385.92

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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.