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Finding the Fourth Proportional to 13,832.54, 19,088.82 and 7,544.92

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Solution

The fourth proportional to 13,832.54, 19,088.82 and 7,544.92 is: 10,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.54 : 19,088.82 = 7,544.92 : x
  2. Step 2: Convert to fraction form
    13,832.54/19,088.82 = 7,544.92/x
  3. Step 3: Cross multiply
    13,832.54x = 19,088.82 × 7,544.92
  4. Step 4: Simplify right side
    13,832.54x = 144,023,619.79
  5. Step 5: Solve for x
    x = 144,023,619.79/13,832.54
  6. Step 6: Final answer
    x = 10,411.94

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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.