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Finding the Fourth Proportional to 14,007.86, 19,322.28 and 8,338.82

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Solution

The fourth proportional to 14,007.86, 19,322.28 and 8,338.82 is: 11,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.86 : 19,322.28 = 8,338.82 : x
  2. Step 2: Convert to fraction form
    14,007.86/19,322.28 = 8,338.82/x
  3. Step 3: Cross multiply
    14,007.86x = 19,322.28 × 8,338.82
  4. Step 4: Simplify right side
    14,007.86x = 161,125,014.91
  5. Step 5: Solve for x
    x = 161,125,014.91/14,007.86
  6. Step 6: Final answer
    x = 11,502.47

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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.