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Finding the Fourth Proportional to 14,827.86, 22,219.92 and 8,252.28

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Solution

The fourth proportional to 14,827.86, 22,219.92 and 8,252.28 is: 12,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.86 : 22,219.92 = 8,252.28 : x
  2. Step 2: Convert to fraction form
    14,827.86/22,219.92 = 8,252.28/x
  3. Step 3: Cross multiply
    14,827.86x = 22,219.92 × 8,252.28
  4. Step 4: Simplify right side
    14,827.86x = 183,365,001.42
  5. Step 5: Solve for x
    x = 183,365,001.42/14,827.86
  6. Step 6: Final answer
    x = 12,366.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.