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Finding the Fourth Proportional to 17,577.99, 24,253.75 and 10,022.17

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Solution

The fourth proportional to 17,577.99, 24,253.75 and 10,022.17 is: 13,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.99 : 24,253.75 = 10,022.17 : x
  2. Step 2: Convert to fraction form
    17,577.99/24,253.75 = 10,022.17/x
  3. Step 3: Cross multiply
    17,577.99x = 24,253.75 × 10,022.17
  4. Step 4: Simplify right side
    17,577.99x = 243,075,205.64
  5. Step 5: Solve for x
    x = 243,075,205.64/17,577.99
  6. Step 6: Final answer
    x = 13,828.38

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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.