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Finding the Fourth Proportional to 14,032.38, 19,365.12 and 8,065.26

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Solution

The fourth proportional to 14,032.38, 19,365.12 and 8,065.26 is: 11,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.38 : 19,365.12 = 8,065.26 : x
  2. Step 2: Convert to fraction form
    14,032.38/19,365.12 = 8,065.26/x
  3. Step 3: Cross multiply
    14,032.38x = 19,365.12 × 8,065.26
  4. Step 4: Simplify right side
    14,032.38x = 156,184,727.73
  5. Step 5: Solve for x
    x = 156,184,727.73/14,032.38
  6. Step 6: Final answer
    x = 11,130.31

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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.