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Finding the Fourth Proportional to 13,811.92, 19,061.67 and 7,845.46

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Solution

The fourth proportional to 13,811.92, 19,061.67 and 7,845.46 is: 10,827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.92 : 19,061.67 = 7,845.46 : x
  2. Step 2: Convert to fraction form
    13,811.92/19,061.67 = 7,845.46/x
  3. Step 3: Cross multiply
    13,811.92x = 19,061.67 × 7,845.46
  4. Step 4: Simplify right side
    13,811.92x = 149,547,569.52
  5. Step 5: Solve for x
    x = 149,547,569.52/13,811.92
  6. Step 6: Final answer
    x = 10,827.43

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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.