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Finding the Fourth Proportional to 17,966.61, 24,794.64 and 10,412.82

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Solution

The fourth proportional to 17,966.61, 24,794.64 and 10,412.82 is: 14,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966.61 : 24,794.64 = 10,412.82 : x
  2. Step 2: Convert to fraction form
    17,966.61/24,794.64 = 10,412.82/x
  3. Step 3: Cross multiply
    17,966.61x = 24,794.64 × 10,412.82
  4. Step 4: Simplify right side
    17,966.61x = 258,182,123.28
  5. Step 5: Solve for x
    x = 258,182,123.28/17,966.61
  6. Step 6: Final answer
    x = 14,370.11

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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.