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Finding the Fourth Proportional to 22,852.44, 31,537.62 and 12,780.76

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Solution

The fourth proportional to 22,852.44, 31,537.62 and 12,780.76 is: 17,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.44 : 31,537.62 = 12,780.76 : x
  2. Step 2: Convert to fraction form
    22,852.44/31,537.62 = 12,780.76/x
  3. Step 3: Cross multiply
    22,852.44x = 31,537.62 × 12,780.76
  4. Step 4: Simplify right side
    22,852.44x = 403,074,752.19
  5. Step 5: Solve for x
    x = 403,074,752.19/22,852.44
  6. Step 6: Final answer
    x = 17,638.15

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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.