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Finding the Fourth Proportional to 17,476, 24,117.84 and 10,024.48

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Solution

The fourth proportional to 17,476, 24,117.84 and 10,024.48 is: 13,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,476 : 24,117.84 = 10,024.48 : x
  2. Step 2: Convert to fraction form
    17,476/24,117.84 = 10,024.48/x
  3. Step 3: Cross multiply
    17,476x = 24,117.84 × 10,024.48
  4. Step 4: Simplify right side
    17,476x = 241,768,804.72
  5. Step 5: Solve for x
    x = 241,768,804.72/17,476
  6. Step 6: Final answer
    x = 13,834.33

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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.