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Finding the Fourth Proportional to 16,470.40, 24,686.40 and 6,604.80

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Solution

The fourth proportional to 16,470.40, 24,686.40 and 6,604.80 is: 9,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.40 : 24,686.40 = 6,604.80 : x
  2. Step 2: Convert to fraction form
    16,470.40/24,686.40 = 6,604.80/x
  3. Step 3: Cross multiply
    16,470.40x = 24,686.40 × 6,604.80
  4. Step 4: Simplify right side
    16,470.40x = 163,048,734.72
  5. Step 5: Solve for x
    x = 163,048,734.72/16,470.40
  6. Step 6: Final answer
    x = 9,899.50

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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.