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Finding the Fourth Proportional to 13,832.25, 19,089.12 and 7,544.63

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Solution

The fourth proportional to 13,832.25, 19,089.12 and 7,544.63 is: 10,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.25 : 19,089.12 = 7,544.63 : x
  2. Step 2: Convert to fraction form
    13,832.25/19,089.12 = 7,544.63/x
  3. Step 3: Cross multiply
    13,832.25x = 19,089.12 × 7,544.63
  4. Step 4: Simplify right side
    13,832.25x = 144,020,251.98
  5. Step 5: Solve for x
    x = 144,020,251.98/13,832.25
  6. Step 6: Final answer
    x = 10,411.92

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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.