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Finding the Fourth Proportional to 14,012.74, 19,337.82 and 7,725.10

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Solution

The fourth proportional to 14,012.74, 19,337.82 and 7,725.10 is: 10,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.74 : 19,337.82 = 7,725.10 : x
  2. Step 2: Convert to fraction form
    14,012.74/19,337.82 = 7,725.10/x
  3. Step 3: Cross multiply
    14,012.74x = 19,337.82 × 7,725.10
  4. Step 4: Simplify right side
    14,012.74x = 149,386,593.28
  5. Step 5: Solve for x
    x = 149,386,593.28/14,012.74
  6. Step 6: Final answer
    x = 10,660.77

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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.