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Finding the Fourth Proportional to 17,974, 24,804.12 and 10,522

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Solution

The fourth proportional to 17,974, 24,804.12 and 10,522 is: 14,520.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974 : 24,804.12 = 10,522 : x
  2. Step 2: Convert to fraction form
    17,974/24,804.12 = 10,522/x
  3. Step 3: Cross multiply
    17,974x = 24,804.12 × 10,522
  4. Step 4: Simplify right side
    17,974x = 260,988,950.64
  5. Step 5: Solve for x
    x = 260,988,950.64/17,974
  6. Step 6: Final answer
    x = 14,520.36

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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.