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Finding the Fourth Proportional to 22,433.94, 30,957.06 and 13,478.16

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Solution

The fourth proportional to 22,433.94, 30,957.06 and 13,478.16 is: 18,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.94 : 30,957.06 = 13,478.16 : x
  2. Step 2: Convert to fraction form
    22,433.94/30,957.06 = 13,478.16/x
  3. Step 3: Cross multiply
    22,433.94x = 30,957.06 × 13,478.16
  4. Step 4: Simplify right side
    22,433.94x = 417,244,207.81
  5. Step 5: Solve for x
    x = 417,244,207.81/22,433.94
  6. Step 6: Final answer
    x = 18,598.79

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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.