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Finding the Fourth Proportional to 16,547.23, 24,806.88 and 7,180.20

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Solution

The fourth proportional to 16,547.23, 24,806.88 and 7,180.20 is: 10,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.23 : 24,806.88 = 7,180.20 : x
  2. Step 2: Convert to fraction form
    16,547.23/24,806.88 = 7,180.20/x
  3. Step 3: Cross multiply
    16,547.23x = 24,806.88 × 7,180.20
  4. Step 4: Simplify right side
    16,547.23x = 178,118,359.78
  5. Step 5: Solve for x
    x = 178,118,359.78/16,547.23
  6. Step 6: Final answer
    x = 10,764.24

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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.