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Finding the Fourth Proportional to 13,885.46, 19,155.38 and 9,105.38

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Solution

The fourth proportional to 13,885.46, 19,155.38 and 9,105.38 is: 12,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.46 : 19,155.38 = 9,105.38 : x
  2. Step 2: Convert to fraction form
    13,885.46/19,155.38 = 9,105.38/x
  3. Step 3: Cross multiply
    13,885.46x = 19,155.38 × 9,105.38
  4. Step 4: Simplify right side
    13,885.46x = 174,417,013.94
  5. Step 5: Solve for x
    x = 174,417,013.94/13,885.46
  6. Step 6: Final answer
    x = 12,561.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.