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Finding the Fourth Proportional to 13,405.87, 18,499.89 and 7,356.16

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Solution

The fourth proportional to 13,405.87, 18,499.89 and 7,356.16 is: 10,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.87 : 18,499.89 = 7,356.16 : x
  2. Step 2: Convert to fraction form
    13,405.87/18,499.89 = 7,356.16/x
  3. Step 3: Cross multiply
    13,405.87x = 18,499.89 × 7,356.16
  4. Step 4: Simplify right side
    13,405.87x = 136,088,150.82
  5. Step 5: Solve for x
    x = 136,088,150.82/13,405.87
  6. Step 6: Final answer
    x = 10,151.39

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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.