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Finding the Fourth Proportional to 22,768.69, 31,407.25 and 17,724.93

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Solution

The fourth proportional to 22,768.69, 31,407.25 and 17,724.93 is: 24,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.69 : 31,407.25 = 17,724.93 : x
  2. Step 2: Convert to fraction form
    22,768.69/31,407.25 = 17,724.93/x
  3. Step 3: Cross multiply
    22,768.69x = 31,407.25 × 17,724.93
  4. Step 4: Simplify right side
    22,768.69x = 556,691,307.74
  5. Step 5: Solve for x
    x = 556,691,307.74/22,768.69
  6. Step 6: Final answer
    x = 24,449.86

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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.