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Finding the Fourth Proportional to 14,305.84, 19,741.80 and 7,932.22

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Solution

The fourth proportional to 14,305.84, 19,741.80 and 7,932.22 is: 10,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.84 : 19,741.80 = 7,932.22 : x
  2. Step 2: Convert to fraction form
    14,305.84/19,741.80 = 7,932.22/x
  3. Step 3: Cross multiply
    14,305.84x = 19,741.80 × 7,932.22
  4. Step 4: Simplify right side
    14,305.84x = 156,596,300.80
  5. Step 5: Solve for x
    x = 156,596,300.80/14,305.84
  6. Step 6: Final answer
    x = 10,946.32

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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.