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Finding the Fourth Proportional to 22,924.96, 34,386 and 13,684

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Solution

The fourth proportional to 22,924.96, 34,386 and 13,684 is: 20,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,924.96 : 34,386 = 13,684 : x
  2. Step 2: Convert to fraction form
    22,924.96/34,386 = 13,684/x
  3. Step 3: Cross multiply
    22,924.96x = 34,386 × 13,684
  4. Step 4: Simplify right side
    22,924.96x = 470,538,024
  5. Step 5: Solve for x
    x = 470,538,024/22,924.96
  6. Step 6: Final answer
    x = 20,525.14

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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.