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Finding the Fourth Proportional to 14,292.86, 19,724.15 and 8,005.23

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Solution

The fourth proportional to 14,292.86, 19,724.15 and 8,005.23 is: 11,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292.86 : 19,724.15 = 8,005.23 : x
  2. Step 2: Convert to fraction form
    14,292.86/19,724.15 = 8,005.23/x
  3. Step 3: Cross multiply
    14,292.86x = 19,724.15 × 8,005.23
  4. Step 4: Simplify right side
    14,292.86x = 157,896,377.32
  5. Step 5: Solve for x
    x = 157,896,377.32/14,292.86
  6. Step 6: Final answer
    x = 11,047.22

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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.