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Finding the Fourth Proportional to 15,901.12, 23,806.32 and 12,619

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Solution

The fourth proportional to 15,901.12, 23,806.32 and 12,619 is: 18,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.12 : 23,806.32 = 12,619 : x
  2. Step 2: Convert to fraction form
    15,901.12/23,806.32 = 12,619/x
  3. Step 3: Cross multiply
    15,901.12x = 23,806.32 × 12,619
  4. Step 4: Simplify right side
    15,901.12x = 300,411,952.08
  5. Step 5: Solve for x
    x = 300,411,952.08/15,901.12
  6. Step 6: Final answer
    x = 18,892.50

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Why These Related Problems?

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