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Finding the Fourth Proportional to 22,632.34, 31,228.86 and 12,559.18

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Solution

The fourth proportional to 22,632.34, 31,228.86 and 12,559.18 is: 17,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632.34 : 31,228.86 = 12,559.18 : x
  2. Step 2: Convert to fraction form
    22,632.34/31,228.86 = 12,559.18/x
  3. Step 3: Cross multiply
    22,632.34x = 31,228.86 × 12,559.18
  4. Step 4: Simplify right side
    22,632.34x = 392,208,873.93
  5. Step 5: Solve for x
    x = 392,208,873.93/22,632.34
  6. Step 6: Final answer
    x = 17,329.58

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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.