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Finding the Fourth Proportional to 16,547.20, 24,849.60 and 8,771.20

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Solution

The fourth proportional to 16,547.20, 24,849.60 and 8,771.20 is: 13,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.20 : 24,849.60 = 8,771.20 : x
  2. Step 2: Convert to fraction form
    16,547.20/24,849.60 = 8,771.20/x
  3. Step 3: Cross multiply
    16,547.20x = 24,849.60 × 8,771.20
  4. Step 4: Simplify right side
    16,547.20x = 217,960,811.52
  5. Step 5: Solve for x
    x = 217,960,811.52/16,547.20
  6. Step 6: Final answer
    x = 13,172.07

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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.