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Finding the Fourth Proportional to 23,853.80, 32,916.84 and 13,242.80

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Solution

The fourth proportional to 23,853.80, 32,916.84 and 13,242.80 is: 18,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,853.80 : 32,916.84 = 13,242.80 : x
  2. Step 2: Convert to fraction form
    23,853.80/32,916.84 = 13,242.80/x
  3. Step 3: Cross multiply
    23,853.80x = 32,916.84 × 13,242.80
  4. Step 4: Simplify right side
    23,853.80x = 435,911,128.75
  5. Step 5: Solve for x
    x = 435,911,128.75/23,853.80
  6. Step 6: Final answer
    x = 18,274.28

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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.