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Finding the Fourth Proportional to 13,862.00, 19,129.61 and 7,574.51

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Solution

The fourth proportional to 13,862.00, 19,129.61 and 7,574.51 is: 10,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.00 : 19,129.61 = 7,574.51 : x
  2. Step 2: Convert to fraction form
    13,862.00/19,129.61 = 7,574.51/x
  3. Step 3: Cross multiply
    13,862.00x = 19,129.61 × 7,574.51
  4. Step 4: Simplify right side
    13,862.00x = 144,897,345.53
  5. Step 5: Solve for x
    x = 144,897,345.53/13,862.00
  6. Step 6: Final answer
    x = 10,452.85

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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.