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Finding the Fourth Proportional to 15,902.12, 23,807.82 and 12,620

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Solution

The fourth proportional to 15,902.12, 23,807.82 and 12,620 is: 18,894.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.12 : 23,807.82 = 12,620 : x
  2. Step 2: Convert to fraction form
    15,902.12/23,807.82 = 12,620/x
  3. Step 3: Cross multiply
    15,902.12x = 23,807.82 × 12,620
  4. Step 4: Simplify right side
    15,902.12x = 300,454,688.40
  5. Step 5: Solve for x
    x = 300,454,688.40/15,902.12
  6. Step 6: Final answer
    x = 18,894.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.