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Finding the Fourth Proportional to 22,585.63, 31,168.15 and 13,025.38

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Solution

The fourth proportional to 22,585.63, 31,168.15 and 13,025.38 is: 17,975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.63 : 31,168.15 = 13,025.38 : x
  2. Step 2: Convert to fraction form
    22,585.63/31,168.15 = 13,025.38/x
  3. Step 3: Cross multiply
    22,585.63x = 31,168.15 × 13,025.38
  4. Step 4: Simplify right side
    22,585.63x = 405,976,887.16
  5. Step 5: Solve for x
    x = 405,976,887.16/22,585.63
  6. Step 6: Final answer
    x = 17,975.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.