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Finding the Fourth Proportional to 14,502.42, 21,733.27 and 6,171.16

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Solution

The fourth proportional to 14,502.42, 21,733.27 and 6,171.16 is: 9,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.42 : 21,733.27 = 6,171.16 : x
  2. Step 2: Convert to fraction form
    14,502.42/21,733.27 = 6,171.16/x
  3. Step 3: Cross multiply
    14,502.42x = 21,733.27 × 6,171.16
  4. Step 4: Simplify right side
    14,502.42x = 134,119,486.49
  5. Step 5: Solve for x
    x = 134,119,486.49/14,502.42
  6. Step 6: Final answer
    x = 9,248.08

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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.