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Finding the Fourth Proportional to 13,833.84, 20,824.59 and 12,405

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Solution

The fourth proportional to 13,833.84, 20,824.59 and 12,405 is: 18,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.84 : 20,824.59 = 12,405 : x
  2. Step 2: Convert to fraction form
    13,833.84/20,824.59 = 12,405/x
  3. Step 3: Cross multiply
    13,833.84x = 20,824.59 × 12,405
  4. Step 4: Simplify right side
    13,833.84x = 258,329,038.95
  5. Step 5: Solve for x
    x = 258,329,038.95/13,833.84
  6. Step 6: Final answer
    x = 18,673.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.