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Finding the Fourth Proportional to 14,465.86, 19,963.26 and 8,092.24

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Solution

The fourth proportional to 14,465.86, 19,963.26 and 8,092.24 is: 11,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.86 : 19,963.26 = 8,092.24 : x
  2. Step 2: Convert to fraction form
    14,465.86/19,963.26 = 8,092.24/x
  3. Step 3: Cross multiply
    14,465.86x = 19,963.26 × 8,092.24
  4. Step 4: Simplify right side
    14,465.86x = 161,547,441.19
  5. Step 5: Solve for x
    x = 161,547,441.19/14,465.86
  6. Step 6: Final answer
    x = 11,167.50

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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.