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Finding the Fourth Proportional to 23,765, 32,794.58 and 13,009.66

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Solution

The fourth proportional to 23,765, 32,794.58 and 13,009.66 is: 17,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765 : 32,794.58 = 13,009.66 : x
  2. Step 2: Convert to fraction form
    23,765/32,794.58 = 13,009.66/x
  3. Step 3: Cross multiply
    23,765x = 32,794.58 × 13,009.66
  4. Step 4: Simplify right side
    23,765x = 426,646,335.64
  5. Step 5: Solve for x
    x = 426,646,335.64/23,765
  6. Step 6: Final answer
    x = 17,952.72

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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.