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Finding the Fourth Proportional to 14,001.66, 19,322.30 and 7,714.04

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Solution

The fourth proportional to 14,001.66, 19,322.30 and 7,714.04 is: 10,645.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,001.66 : 19,322.30 = 7,714.04 : x
  2. Step 2: Convert to fraction form
    14,001.66/19,322.30 = 7,714.04/x
  3. Step 3: Cross multiply
    14,001.66x = 19,322.30 × 7,714.04
  4. Step 4: Simplify right side
    14,001.66x = 149,052,995.09
  5. Step 5: Solve for x
    x = 149,052,995.09/14,001.66
  6. Step 6: Final answer
    x = 10,645.38

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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.