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Finding the Fourth Proportional to 17,219.68, 23,762.38 and 10,504.24

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Solution

The fourth proportional to 17,219.68, 23,762.38 and 10,504.24 is: 14,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,219.68 : 23,762.38 = 10,504.24 : x
  2. Step 2: Convert to fraction form
    17,219.68/23,762.38 = 10,504.24/x
  3. Step 3: Cross multiply
    17,219.68x = 23,762.38 × 10,504.24
  4. Step 4: Simplify right side
    17,219.68x = 249,605,742.49
  5. Step 5: Solve for x
    x = 249,605,742.49/17,219.68
  6. Step 6: Final answer
    x = 14,495.38

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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.