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Finding the Fourth Proportional to 14,001.12, 19,322.16 and 7,713.72

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Solution

The fourth proportional to 14,001.12, 19,322.16 and 7,713.72 is: 10,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,001.12 : 19,322.16 = 7,713.72 : x
  2. Step 2: Convert to fraction form
    14,001.12/19,322.16 = 7,713.72/x
  3. Step 3: Cross multiply
    14,001.12x = 19,322.16 × 7,713.72
  4. Step 4: Simplify right side
    14,001.12x = 149,045,732.04
  5. Step 5: Solve for x
    x = 149,045,732.04/14,001.12
  6. Step 6: Final answer
    x = 10,645.27

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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.