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Finding the Fourth Proportional to 13,862.12, 19,129.65 and 7,574.45

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Solution

The fourth proportional to 13,862.12, 19,129.65 and 7,574.45 is: 10,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.12 : 19,129.65 = 7,574.45 : x
  2. Step 2: Convert to fraction form
    13,862.12/19,129.65 = 7,574.45/x
  3. Step 3: Cross multiply
    13,862.12x = 19,129.65 × 7,574.45
  4. Step 4: Simplify right side
    13,862.12x = 144,896,577.44
  5. Step 5: Solve for x
    x = 144,896,577.44/13,862.12
  6. Step 6: Final answer
    x = 10,452.70

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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.