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Finding the Fourth Proportional to 16,341.80, 24,542.40 and 9,780.80

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Solution

The fourth proportional to 16,341.80, 24,542.40 and 9,780.80 is: 14,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.80 : 24,542.40 = 9,780.80 : x
  2. Step 2: Convert to fraction form
    16,341.80/24,542.40 = 9,780.80/x
  3. Step 3: Cross multiply
    16,341.80x = 24,542.40 × 9,780.80
  4. Step 4: Simplify right side
    16,341.80x = 240,044,305.92
  5. Step 5: Solve for x
    x = 240,044,305.92/16,341.80
  6. Step 6: Final answer
    x = 14,688.98

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1.5x scale

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.