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Finding the Fourth Proportional to 23,801.54, 32,847 and 14,368.28

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Solution

The fourth proportional to 23,801.54, 32,847 and 14,368.28 is: 19,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,801.54 : 32,847 = 14,368.28 : x
  2. Step 2: Convert to fraction form
    23,801.54/32,847 = 14,368.28/x
  3. Step 3: Cross multiply
    23,801.54x = 32,847 × 14,368.28
  4. Step 4: Simplify right side
    23,801.54x = 471,954,893.16
  5. Step 5: Solve for x
    x = 471,954,893.16/23,801.54
  6. Step 6: Final answer
    x = 19,828.75

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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.