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Finding the Fourth Proportional to 24,798.96, 34,222.32 and 13,468.56

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Solution

The fourth proportional to 24,798.96, 34,222.32 and 13,468.56 is: 18,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,798.96 : 34,222.32 = 13,468.56 : x
  2. Step 2: Convert to fraction form
    24,798.96/34,222.32 = 13,468.56/x
  3. Step 3: Cross multiply
    24,798.96x = 34,222.32 × 13,468.56
  4. Step 4: Simplify right side
    24,798.96x = 460,925,370.26
  5. Step 5: Solve for x
    x = 460,925,370.26/24,798.96
  6. Step 6: Final answer
    x = 18,586.48

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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.