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Finding the Fourth Proportional to 19,502.33, 29,233.96 and 9,648.77

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Solution

The fourth proportional to 19,502.33, 29,233.96 and 9,648.77 is: 14,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502.33 : 29,233.96 = 9,648.77 : x
  2. Step 2: Convert to fraction form
    19,502.33/29,233.96 = 9,648.77/x
  3. Step 3: Cross multiply
    19,502.33x = 29,233.96 × 9,648.77
  4. Step 4: Simplify right side
    19,502.33x = 282,071,585.94
  5. Step 5: Solve for x
    x = 282,071,585.94/19,502.33
  6. Step 6: Final answer
    x = 14,463.49

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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.