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Finding the Fourth Proportional to 13,697.84, 20,499.24 and 8,430.50

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Solution

The fourth proportional to 13,697.84, 20,499.24 and 8,430.50 is: 12,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.84 : 20,499.24 = 8,430.50 : x
  2. Step 2: Convert to fraction form
    13,697.84/20,499.24 = 8,430.50/x
  3. Step 3: Cross multiply
    13,697.84x = 20,499.24 × 8,430.50
  4. Step 4: Simplify right side
    13,697.84x = 172,818,842.82
  5. Step 5: Solve for x
    x = 172,818,842.82/13,697.84
  6. Step 6: Final answer
    x = 12,616.50

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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.