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Finding the Fourth Proportional to 14,056.78, 19,397.42 and 7,682.08

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Solution

The fourth proportional to 14,056.78, 19,397.42 and 7,682.08 is: 10,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056.78 : 19,397.42 = 7,682.08 : x
  2. Step 2: Convert to fraction form
    14,056.78/19,397.42 = 7,682.08/x
  3. Step 3: Cross multiply
    14,056.78x = 19,397.42 × 7,682.08
  4. Step 4: Simplify right side
    14,056.78x = 149,012,532.23
  5. Step 5: Solve for x
    x = 149,012,532.23/14,056.78
  6. Step 6: Final answer
    x = 10,600.76

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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.