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Finding the Fourth Proportional to 14,057.16, 19,398.54 and 7,683.46

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Solution

The fourth proportional to 14,057.16, 19,398.54 and 7,683.46 is: 10,602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.16 : 19,398.54 = 7,683.46 : x
  2. Step 2: Convert to fraction form
    14,057.16/19,398.54 = 7,683.46/x
  3. Step 3: Cross multiply
    14,057.16x = 19,398.54 × 7,683.46
  4. Step 4: Simplify right side
    14,057.16x = 149,047,906.15
  5. Step 5: Solve for x
    x = 149,047,906.15/14,057.16
  6. Step 6: Final answer
    x = 10,602.99

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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.