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Finding the Fourth Proportional to 13,816.63, 19,066.95 and 7,529

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Solution

The fourth proportional to 13,816.63, 19,066.95 and 7,529 is: 10,390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.63 : 19,066.95 = 7,529 : x
  2. Step 2: Convert to fraction form
    13,816.63/19,066.95 = 7,529/x
  3. Step 3: Cross multiply
    13,816.63x = 19,066.95 × 7,529
  4. Step 4: Simplify right side
    13,816.63x = 143,555,028.91
  5. Step 5: Solve for x
    x = 143,555,028.91/13,816.63
  6. Step 6: Final answer
    x = 10,390.02

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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.