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Finding the Fourth Proportional to 13,036.68, 19,544.49 and 5,238

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Solution

The fourth proportional to 13,036.68, 19,544.49 and 5,238 is: 7,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,036.68 : 19,544.49 = 5,238 : x
  2. Step 2: Convert to fraction form
    13,036.68/19,544.49 = 5,238/x
  3. Step 3: Cross multiply
    13,036.68x = 19,544.49 × 5,238
  4. Step 4: Simplify right side
    13,036.68x = 102,374,038.62
  5. Step 5: Solve for x
    x = 102,374,038.62/13,036.68
  6. Step 6: Final answer
    x = 7,852.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.