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Finding the Fourth Proportional to 22,854.98, 31,541.49 and 12,784.37

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Solution

The fourth proportional to 22,854.98, 31,541.49 and 12,784.37 is: 17,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.98 : 31,541.49 = 12,784.37 : x
  2. Step 2: Convert to fraction form
    22,854.98/31,541.49 = 12,784.37/x
  3. Step 3: Cross multiply
    22,854.98x = 31,541.49 × 12,784.37
  4. Step 4: Simplify right side
    22,854.98x = 403,237,920.80
  5. Step 5: Solve for x
    x = 403,237,920.80/22,854.98
  6. Step 6: Final answer
    x = 17,643.33

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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.