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Finding the Fourth Proportional to 16,470.28, 24,697.50 and 7,697.80

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Solution

The fourth proportional to 16,470.28, 24,697.50 and 7,697.80 is: 11,543.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.28 : 24,697.50 = 7,697.80 : x
  2. Step 2: Convert to fraction form
    16,470.28/24,697.50 = 7,697.80/x
  3. Step 3: Cross multiply
    16,470.28x = 24,697.50 × 7,697.80
  4. Step 4: Simplify right side
    16,470.28x = 190,116,415.50
  5. Step 5: Solve for x
    x = 190,116,415.50/16,470.28
  6. Step 6: Final answer
    x = 11,543.00

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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.