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Finding the Fourth Proportional to 16,385.76, 24,611.76 and 9,824.40

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Solution

The fourth proportional to 16,385.76, 24,611.76 and 9,824.40 is: 14,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.76 : 24,611.76 = 9,824.40 : x
  2. Step 2: Convert to fraction form
    16,385.76/24,611.76 = 9,824.40/x
  3. Step 3: Cross multiply
    16,385.76x = 24,611.76 × 9,824.40
  4. Step 4: Simplify right side
    16,385.76x = 241,795,774.94
  5. Step 5: Solve for x
    x = 241,795,774.94/16,385.76
  6. Step 6: Final answer
    x = 14,756.46

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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.