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Finding the Fourth Proportional to 14,502.96, 21,707.37 and 7,830.18

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Solution

The fourth proportional to 14,502.96, 21,707.37 and 7,830.18 is: 11,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.96 : 21,707.37 = 7,830.18 : x
  2. Step 2: Convert to fraction form
    14,502.96/21,707.37 = 7,830.18/x
  3. Step 3: Cross multiply
    14,502.96x = 21,707.37 × 7,830.18
  4. Step 4: Simplify right side
    14,502.96x = 169,972,614.43
  5. Step 5: Solve for x
    x = 169,972,614.43/14,502.96
  6. Step 6: Final answer
    x = 11,719.86

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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.