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Finding the Fourth Proportional to 17,787, 24,547.50 and 10,336.44

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Solution

The fourth proportional to 17,787, 24,547.50 and 10,336.44 is: 14,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787 : 24,547.50 = 10,336.44 : x
  2. Step 2: Convert to fraction form
    17,787/24,547.50 = 10,336.44/x
  3. Step 3: Cross multiply
    17,787x = 24,547.50 × 10,336.44
  4. Step 4: Simplify right side
    17,787x = 253,733,760.90
  5. Step 5: Solve for x
    x = 253,733,760.90/17,787
  6. Step 6: Final answer
    x = 14,265.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.