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Finding the Fourth Proportional to 22,846, 31,531.80 and 12,910

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Solution

The fourth proportional to 22,846, 31,531.80 and 12,910 is: 17,818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846 : 31,531.80 = 12,910 : x
  2. Step 2: Convert to fraction form
    22,846/31,531.80 = 12,910/x
  3. Step 3: Cross multiply
    22,846x = 31,531.80 × 12,910
  4. Step 4: Simplify right side
    22,846x = 407,075,538
  5. Step 5: Solve for x
    x = 407,075,538/22,846
  6. Step 6: Final answer
    x = 17,818.24

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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.