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Finding the Fourth Proportional to 13,813.13, 19,062.14 and 7,525.51

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Solution

The fourth proportional to 13,813.13, 19,062.14 and 7,525.51 is: 10,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.13 : 19,062.14 = 7,525.51 : x
  2. Step 2: Convert to fraction form
    13,813.13/19,062.14 = 7,525.51/x
  3. Step 3: Cross multiply
    13,813.13x = 19,062.14 × 7,525.51
  4. Step 4: Simplify right side
    13,813.13x = 143,452,239.91
  5. Step 5: Solve for x
    x = 143,452,239.91/13,813.13
  6. Step 6: Final answer
    x = 10,385.21

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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.