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Finding the Fourth Proportional to 14,192.42, 19,585.53 and 8,227.55

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Solution

The fourth proportional to 14,192.42, 19,585.53 and 8,227.55 is: 11,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.42 : 19,585.53 = 8,227.55 : x
  2. Step 2: Convert to fraction form
    14,192.42/19,585.53 = 8,227.55/x
  3. Step 3: Cross multiply
    14,192.42x = 19,585.53 × 8,227.55
  4. Step 4: Simplify right side
    14,192.42x = 161,140,927.35
  5. Step 5: Solve for x
    x = 161,140,927.35/14,192.42
  6. Step 6: Final answer
    x = 11,354.01

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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.