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Finding the Fourth Proportional to 22,514.76, 31,071.06 and 12,444.84

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Solution

The fourth proportional to 22,514.76, 31,071.06 and 12,444.84 is: 17,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,514.76 : 31,071.06 = 12,444.84 : x
  2. Step 2: Convert to fraction form
    22,514.76/31,071.06 = 12,444.84/x
  3. Step 3: Cross multiply
    22,514.76x = 31,071.06 × 12,444.84
  4. Step 4: Simplify right side
    22,514.76x = 386,674,370.33
  5. Step 5: Solve for x
    x = 386,674,370.33/22,514.76
  6. Step 6: Final answer
    x = 17,174.26

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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.