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Finding the Fourth Proportional to 22,810.76, 31,477.06 and 12,738.42

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Solution

The fourth proportional to 22,810.76, 31,477.06 and 12,738.42 is: 17,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.76 : 31,477.06 = 12,738.42 : x
  2. Step 2: Convert to fraction form
    22,810.76/31,477.06 = 12,738.42/x
  3. Step 3: Cross multiply
    22,810.76x = 31,477.06 × 12,738.42
  4. Step 4: Simplify right side
    22,810.76x = 400,968,010.65
  5. Step 5: Solve for x
    x = 400,968,010.65/22,810.76
  6. Step 6: Final answer
    x = 17,578.02

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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.