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Finding the Fourth Proportional to 22,888.64, 31,581.76 and 13,930.14

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Solution

The fourth proportional to 22,888.64, 31,581.76 and 13,930.14 is: 19,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,888.64 : 31,581.76 = 13,930.14 : x
  2. Step 2: Convert to fraction form
    22,888.64/31,581.76 = 13,930.14/x
  3. Step 3: Cross multiply
    22,888.64x = 31,581.76 × 13,930.14
  4. Step 4: Simplify right side
    22,888.64x = 439,938,338.25
  5. Step 5: Solve for x
    x = 439,938,338.25/22,888.64
  6. Step 6: Final answer
    x = 19,220.82

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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.