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Finding the Fourth Proportional to 23,094.46, 31,870.65 and 14,017.20

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Solution

The fourth proportional to 23,094.46, 31,870.65 and 14,017.20 is: 19,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,094.46 : 31,870.65 = 14,017.20 : x
  2. Step 2: Convert to fraction form
    23,094.46/31,870.65 = 14,017.20/x
  3. Step 3: Cross multiply
    23,094.46x = 31,870.65 × 14,017.20
  4. Step 4: Simplify right side
    23,094.46x = 446,737,241.70
  5. Step 5: Solve for x
    x = 446,737,241.70/23,094.46
  6. Step 6: Final answer
    x = 19,343.91

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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.