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Finding the Fourth Proportional to 13,887.65, 19,164.88 and 7,600.13

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Solution

The fourth proportional to 13,887.65, 19,164.88 and 7,600.13 is: 10,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.65 : 19,164.88 = 7,600.13 : x
  2. Step 2: Convert to fraction form
    13,887.65/19,164.88 = 7,600.13/x
  3. Step 3: Cross multiply
    13,887.65x = 19,164.88 × 7,600.13
  4. Step 4: Simplify right side
    13,887.65x = 145,655,579.43
  5. Step 5: Solve for x
    x = 145,655,579.43/13,887.65
  6. Step 6: Final answer
    x = 10,488.14

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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.