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Finding the Fourth Proportional to 19,077.50, 28,606.53 and 7,981.18

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Solution

The fourth proportional to 19,077.50, 28,606.53 and 7,981.18 is: 11,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,077.50 : 28,606.53 = 7,981.18 : x
  2. Step 2: Convert to fraction form
    19,077.50/28,606.53 = 7,981.18/x
  3. Step 3: Cross multiply
    19,077.50x = 28,606.53 × 7,981.18
  4. Step 4: Simplify right side
    19,077.50x = 228,313,865.11
  5. Step 5: Solve for x
    x = 228,313,865.11/19,077.50
  6. Step 6: Final answer
    x = 11,967.70

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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.