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Finding the Fourth Proportional to 22,585.37, 31,168.94 and 12,514.91

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Solution

The fourth proportional to 22,585.37, 31,168.94 and 12,514.91 is: 17,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.37 : 31,168.94 = 12,514.91 : x
  2. Step 2: Convert to fraction form
    22,585.37/31,168.94 = 12,514.91/x
  3. Step 3: Cross multiply
    22,585.37x = 31,168.94 × 12,514.91
  4. Step 4: Simplify right side
    22,585.37x = 390,076,260.48
  5. Step 5: Solve for x
    x = 390,076,260.48/22,585.37
  6. Step 6: Final answer
    x = 17,271.20

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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.