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Finding the Fourth Proportional to 22,924, 31,635.60 and 12,988

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Solution

The fourth proportional to 22,924, 31,635.60 and 12,988 is: 17,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,924 : 31,635.60 = 12,988 : x
  2. Step 2: Convert to fraction form
    22,924/31,635.60 = 12,988/x
  3. Step 3: Cross multiply
    22,924x = 31,635.60 × 12,988
  4. Step 4: Simplify right side
    22,924x = 410,883,172.80
  5. Step 5: Solve for x
    x = 410,883,172.80/22,924
  6. Step 6: Final answer
    x = 17,923.71

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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.