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Finding the Fourth Proportional to 17,522, 24,151.54 and 12,419.22

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Solution

The fourth proportional to 17,522, 24,151.54 and 12,419.22 is: 17,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,522 : 24,151.54 = 12,419.22 : x
  2. Step 2: Convert to fraction form
    17,522/24,151.54 = 12,419.22/x
  3. Step 3: Cross multiply
    17,522x = 24,151.54 × 12,419.22
  4. Step 4: Simplify right side
    17,522x = 299,943,288.60
  5. Step 5: Solve for x
    x = 299,943,288.60/17,522
  6. Step 6: Final answer
    x = 17,118.10

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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.