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Finding the Fourth Proportional to 14,193.14, 19,585.59 and 8,223.74

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Solution

The fourth proportional to 14,193.14, 19,585.59 and 8,223.74 is: 11,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.14 : 19,585.59 = 8,223.74 : x
  2. Step 2: Convert to fraction form
    14,193.14/19,585.59 = 8,223.74/x
  3. Step 3: Cross multiply
    14,193.14x = 19,585.59 × 8,223.74
  4. Step 4: Simplify right side
    14,193.14x = 161,066,848.87
  5. Step 5: Solve for x
    x = 161,066,848.87/14,193.14
  6. Step 6: Final answer
    x = 11,348.22

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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.