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Finding the Fourth Proportional to 24,875.22, 34,327.76 and 13,697.22

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Solution

The fourth proportional to 24,875.22, 34,327.76 and 13,697.22 is: 18,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,875.22 : 34,327.76 = 13,697.22 : x
  2. Step 2: Convert to fraction form
    24,875.22/34,327.76 = 13,697.22/x
  3. Step 3: Cross multiply
    24,875.22x = 34,327.76 × 13,697.22
  4. Step 4: Simplify right side
    24,875.22x = 470,194,880.83
  5. Step 5: Solve for x
    x = 470,194,880.83/24,875.22
  6. Step 6: Final answer
    x = 18,902.14

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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.