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Finding the Fourth Proportional to 13,842.88, 19,103.15 and 7,555.25

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Solution

The fourth proportional to 13,842.88, 19,103.15 and 7,555.25 is: 10,426.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.88 : 19,103.15 = 7,555.25 : x
  2. Step 2: Convert to fraction form
    13,842.88/19,103.15 = 7,555.25/x
  3. Step 3: Cross multiply
    13,842.88x = 19,103.15 × 7,555.25
  4. Step 4: Simplify right side
    13,842.88x = 144,329,140.68
  5. Step 5: Solve for x
    x = 144,329,140.68/13,842.88
  6. Step 6: Final answer
    x = 10,426.24

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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.