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Finding the Fourth Proportional to 17,649.95, 24,335.69 and 14,053.68

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Solution

The fourth proportional to 17,649.95, 24,335.69 and 14,053.68 is: 19,377.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.95 : 24,335.69 = 14,053.68 : x
  2. Step 2: Convert to fraction form
    17,649.95/24,335.69 = 14,053.68/x
  3. Step 3: Cross multiply
    17,649.95x = 24,335.69 × 14,053.68
  4. Step 4: Simplify right side
    17,649.95x = 342,005,929.57
  5. Step 5: Solve for x
    x = 342,005,929.57/17,649.95
  6. Step 6: Final answer
    x = 19,377.17

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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.