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Finding the Fourth Proportional to 17,880.63, 24,675.33 and 9,924

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Solution

The fourth proportional to 17,880.63, 24,675.33 and 9,924 is: 13,695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,880.63 : 24,675.33 = 9,924 : x
  2. Step 2: Convert to fraction form
    17,880.63/24,675.33 = 9,924/x
  3. Step 3: Cross multiply
    17,880.63x = 24,675.33 × 9,924
  4. Step 4: Simplify right side
    17,880.63x = 244,877,974.92
  5. Step 5: Solve for x
    x = 244,877,974.92/17,880.63
  6. Step 6: Final answer
    x = 13,695.15

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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.