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Finding the Fourth Proportional to 16,225.76, 24,384.08 and 9,652.96

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Solution

The fourth proportional to 16,225.76, 24,384.08 and 9,652.96 is: 14,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.76 : 24,384.08 = 9,652.96 : x
  2. Step 2: Convert to fraction form
    16,225.76/24,384.08 = 9,652.96/x
  3. Step 3: Cross multiply
    16,225.76x = 24,384.08 × 9,652.96
  4. Step 4: Simplify right side
    16,225.76x = 235,378,548.88
  5. Step 5: Solve for x
    x = 235,378,548.88/16,225.76
  6. Step 6: Final answer
    x = 14,506.47

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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.