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Finding the Fourth Proportional to 14,053.66, 19,394.42 and 7,680.52

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Solution

The fourth proportional to 14,053.66, 19,394.42 and 7,680.52 is: 10,599.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.66 : 19,394.42 = 7,680.52 : x
  2. Step 2: Convert to fraction form
    14,053.66/19,394.42 = 7,680.52/x
  3. Step 3: Cross multiply
    14,053.66x = 19,394.42 × 7,680.52
  4. Step 4: Simplify right side
    14,053.66x = 148,959,230.70
  5. Step 5: Solve for x
    x = 148,959,230.70/14,053.66
  6. Step 6: Final answer
    x = 10,599.32

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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.