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Finding the Fourth Proportional to 13,852.75, 19,116.90 and 7,565.14

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Solution

The fourth proportional to 13,852.75, 19,116.90 and 7,565.14 is: 10,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.75 : 19,116.90 = 7,565.14 : x
  2. Step 2: Convert to fraction form
    13,852.75/19,116.90 = 7,565.14/x
  3. Step 3: Cross multiply
    13,852.75x = 19,116.90 × 7,565.14
  4. Step 4: Simplify right side
    13,852.75x = 144,622,024.87
  5. Step 5: Solve for x
    x = 144,622,024.87/13,852.75
  6. Step 6: Final answer
    x = 10,439.95

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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.