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Finding the Fourth Proportional to 16,344.55, 24,495.74 and 7,909.07

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Solution

The fourth proportional to 16,344.55, 24,495.74 and 7,909.07 is: 11,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.55 : 24,495.74 = 7,909.07 : x
  2. Step 2: Convert to fraction form
    16,344.55/24,495.74 = 7,909.07/x
  3. Step 3: Cross multiply
    16,344.55x = 24,495.74 × 7,909.07
  4. Step 4: Simplify right side
    16,344.55x = 193,738,521.40
  5. Step 5: Solve for x
    x = 193,738,521.40/16,344.55
  6. Step 6: Final answer
    x = 11,853.40

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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.