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Finding the Fourth Proportional to 24,802.29, 34,226.62 and 13,471.67

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Solution

The fourth proportional to 24,802.29, 34,226.62 and 13,471.67 is: 18,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.29 : 34,226.62 = 13,471.67 : x
  2. Step 2: Convert to fraction form
    24,802.29/34,226.62 = 13,471.67/x
  3. Step 3: Cross multiply
    24,802.29x = 34,226.62 × 13,471.67
  4. Step 4: Simplify right side
    24,802.29x = 461,089,781.74
  5. Step 5: Solve for x
    x = 461,089,781.74/24,802.29
  6. Step 6: Final answer
    x = 18,590.61

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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.