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Finding the Fourth Proportional to 14,001.84, 19,322.55 and 7,714.22

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Solution

The fourth proportional to 14,001.84, 19,322.55 and 7,714.22 is: 10,645.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,001.84 : 19,322.55 = 7,714.22 : x
  2. Step 2: Convert to fraction form
    14,001.84/19,322.55 = 7,714.22/x
  3. Step 3: Cross multiply
    14,001.84x = 19,322.55 × 7,714.22
  4. Step 4: Simplify right side
    14,001.84x = 149,058,305.05
  5. Step 5: Solve for x
    x = 149,058,305.05/14,001.84
  6. Step 6: Final answer
    x = 10,645.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.