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Finding the Fourth Proportional to 13,887.84, 19,165.14 and 7,600.08

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Solution

The fourth proportional to 13,887.84, 19,165.14 and 7,600.08 is: 10,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.84 : 19,165.14 = 7,600.08 : x
  2. Step 2: Convert to fraction form
    13,887.84/19,165.14 = 7,600.08/x
  3. Step 3: Cross multiply
    13,887.84x = 19,165.14 × 7,600.08
  4. Step 4: Simplify right side
    13,887.84x = 145,656,597.21
  5. Step 5: Solve for x
    x = 145,656,597.21/13,887.84
  6. Step 6: Final answer
    x = 10,488.07

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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.