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Finding the Fourth Proportional to 13,887.61, 19,144.96 and 9,901.81

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Solution

The fourth proportional to 13,887.61, 19,144.96 and 9,901.81 is: 13,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.61 : 19,144.96 = 9,901.81 : x
  2. Step 2: Convert to fraction form
    13,887.61/19,144.96 = 9,901.81/x
  3. Step 3: Cross multiply
    13,887.61x = 19,144.96 × 9,901.81
  4. Step 4: Simplify right side
    13,887.61x = 189,569,756.38
  5. Step 5: Solve for x
    x = 189,569,756.38/13,887.61
  6. Step 6: Final answer
    x = 13,650.28

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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.