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Finding the Fourth Proportional to 23,991.32, 33,108.54 and 13,382

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Solution

The fourth proportional to 23,991.32, 33,108.54 and 13,382 is: 18,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,991.32 : 33,108.54 = 13,382 : x
  2. Step 2: Convert to fraction form
    23,991.32/33,108.54 = 13,382/x
  3. Step 3: Cross multiply
    23,991.32x = 33,108.54 × 13,382
  4. Step 4: Simplify right side
    23,991.32x = 443,058,482.28
  5. Step 5: Solve for x
    x = 443,058,482.28/23,991.32
  6. Step 6: Final answer
    x = 18,467.45

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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.