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Finding the Fourth Proportional to 22,930.47, 31,642.56 and 12,858.84

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Solution

The fourth proportional to 22,930.47, 31,642.56 and 12,858.84 is: 17,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930.47 : 31,642.56 = 12,858.84 : x
  2. Step 2: Convert to fraction form
    22,930.47/31,642.56 = 12,858.84/x
  3. Step 3: Cross multiply
    22,930.47x = 31,642.56 × 12,858.84
  4. Step 4: Simplify right side
    22,930.47x = 406,886,616.23
  5. Step 5: Solve for x
    x = 406,886,616.23/22,930.47
  6. Step 6: Final answer
    x = 17,744.36

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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.