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Finding the Fourth Proportional to 22,931, 31,644.78 and 13,505.36

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Solution

The fourth proportional to 22,931, 31,644.78 and 13,505.36 is: 18,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931 : 31,644.78 = 13,505.36 : x
  2. Step 2: Convert to fraction form
    22,931/31,644.78 = 13,505.36/x
  3. Step 3: Cross multiply
    22,931x = 31,644.78 × 13,505.36
  4. Step 4: Simplify right side
    22,931x = 427,374,146.02
  5. Step 5: Solve for x
    x = 427,374,146.02/22,931
  6. Step 6: Final answer
    x = 18,637.40

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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.