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Finding the Fourth Proportional to 14,057.15, 19,403.75 and 9,035.15

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Solution

The fourth proportional to 14,057.15, 19,403.75 and 9,035.15 is: 12,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,057.15 : 19,403.75 = 9,035.15 : x
  2. Step 2: Convert to fraction form
    14,057.15/19,403.75 = 9,035.15/x
  3. Step 3: Cross multiply
    14,057.15x = 19,403.75 × 9,035.15
  4. Step 4: Simplify right side
    14,057.15x = 175,315,717.38
  5. Step 5: Solve for x
    x = 175,315,717.38/14,057.15
  6. Step 6: Final answer
    x = 12,471.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.