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Finding the Fourth Proportional to 17,959.08, 24,784.90 and 10,407.46

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Solution

The fourth proportional to 17,959.08, 24,784.90 and 10,407.46 is: 14,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,959.08 : 24,784.90 = 10,407.46 : x
  2. Step 2: Convert to fraction form
    17,959.08/24,784.90 = 10,407.46/x
  3. Step 3: Cross multiply
    17,959.08x = 24,784.90 × 10,407.46
  4. Step 4: Simplify right side
    17,959.08x = 257,947,855.35
  5. Step 5: Solve for x
    x = 257,947,855.35/17,959.08
  6. Step 6: Final answer
    x = 14,363.09

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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.