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Finding the Fourth Proportional to 22,852.42, 31,536.12 and 12,780.74

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Solution

The fourth proportional to 22,852.42, 31,536.12 and 12,780.74 is: 17,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.42 : 31,536.12 = 12,780.74 : x
  2. Step 2: Convert to fraction form
    22,852.42/31,536.12 = 12,780.74/x
  3. Step 3: Cross multiply
    22,852.42x = 31,536.12 × 12,780.74
  4. Step 4: Simplify right side
    22,852.42x = 403,054,950.33
  5. Step 5: Solve for x
    x = 403,054,950.33/22,852.42
  6. Step 6: Final answer
    x = 17,637.30

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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.