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Finding the Fourth Proportional to 23,657.94, 32,646.78 and 13,046.94

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Solution

The fourth proportional to 23,657.94, 32,646.78 and 13,046.94 is: 18,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.94 : 32,646.78 = 13,046.94 : x
  2. Step 2: Convert to fraction form
    23,657.94/32,646.78 = 13,046.94/x
  3. Step 3: Cross multiply
    23,657.94x = 32,646.78 × 13,046.94
  4. Step 4: Simplify right side
    23,657.94x = 425,940,579.85
  5. Step 5: Solve for x
    x = 425,940,579.85/23,657.94
  6. Step 6: Final answer
    x = 18,004.13

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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.