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Finding the Fourth Proportional to 17,987.19, 24,822.46 and 10,029.93

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Solution

The fourth proportional to 17,987.19, 24,822.46 and 10,029.93 is: 13,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,987.19 : 24,822.46 = 10,029.93 : x
  2. Step 2: Convert to fraction form
    17,987.19/24,822.46 = 10,029.93/x
  3. Step 3: Cross multiply
    17,987.19x = 24,822.46 × 10,029.93
  4. Step 4: Simplify right side
    17,987.19x = 248,967,536.23
  5. Step 5: Solve for x
    x = 248,967,536.23/17,987.19
  6. Step 6: Final answer
    x = 13,841.38

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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.