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Finding the Fourth Proportional to 20,902.66, 28,836 and 13,345.16

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Solution

The fourth proportional to 20,902.66, 28,836 and 13,345.16 is: 18,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.66 : 28,836 = 13,345.16 : x
  2. Step 2: Convert to fraction form
    20,902.66/28,836 = 13,345.16/x
  3. Step 3: Cross multiply
    20,902.66x = 28,836 × 13,345.16
  4. Step 4: Simplify right side
    20,902.66x = 384,820,889.58
  5. Step 5: Solve for x
    x = 384,820,889.58/20,902.66
  6. Step 6: Final answer
    x = 18,410.14

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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.