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Finding the Fourth Proportional to 17,946.66, 24,765.84 and 9,988.68

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Solution

The fourth proportional to 17,946.66, 24,765.84 and 9,988.68 is: 13,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946.66 : 24,765.84 = 9,988.68 : x
  2. Step 2: Convert to fraction form
    17,946.66/24,765.84 = 9,988.68/x
  3. Step 3: Cross multiply
    17,946.66x = 24,765.84 × 9,988.68
  4. Step 4: Simplify right side
    17,946.66x = 247,378,050.69
  5. Step 5: Solve for x
    x = 247,378,050.69/17,946.66
  6. Step 6: Final answer
    x = 13,784.07

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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.