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Finding the Fourth Proportional to 13,564, 18,716.74 and 7,899.99

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Solution

The fourth proportional to 13,564, 18,716.74 and 7,899.99 is: 10,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564 : 18,716.74 = 7,899.99 : x
  2. Step 2: Convert to fraction form
    13,564/18,716.74 = 7,899.99/x
  3. Step 3: Cross multiply
    13,564x = 18,716.74 × 7,899.99
  4. Step 4: Simplify right side
    13,564x = 147,862,058.83
  5. Step 5: Solve for x
    x = 147,862,058.83/13,564
  6. Step 6: Final answer
    x = 10,901.07

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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.