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Finding the Fourth Proportional to 22,810.83, 31,477.12 and 12,738.67

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Solution

The fourth proportional to 22,810.83, 31,477.12 and 12,738.67 is: 17,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.83 : 31,477.12 = 12,738.67 : x
  2. Step 2: Convert to fraction form
    22,810.83/31,477.12 = 12,738.67/x
  3. Step 3: Cross multiply
    22,810.83x = 31,477.12 × 12,738.67
  4. Step 4: Simplify right side
    22,810.83x = 400,976,644.23
  5. Step 5: Solve for x
    x = 400,976,644.23/22,810.83
  6. Step 6: Final answer
    x = 17,578.35

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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.