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Finding the Fourth Proportional to 15,811.62, 21,810.06 and 10,140.39

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Solution

The fourth proportional to 15,811.62, 21,810.06 and 10,140.39 is: 13,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.62 : 21,810.06 = 10,140.39 : x
  2. Step 2: Convert to fraction form
    15,811.62/21,810.06 = 10,140.39/x
  3. Step 3: Cross multiply
    15,811.62x = 21,810.06 × 10,140.39
  4. Step 4: Simplify right side
    15,811.62x = 221,162,514.32
  5. Step 5: Solve for x
    x = 221,162,514.32/15,811.62
  6. Step 6: Final answer
    x = 13,987.34

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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.