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Finding the Fourth Proportional to 23,791.60, 32,830.14 and 13,718.08

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Solution

The fourth proportional to 23,791.60, 32,830.14 and 13,718.08 is: 18,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,791.60 : 32,830.14 = 13,718.08 : x
  2. Step 2: Convert to fraction form
    23,791.60/32,830.14 = 13,718.08/x
  3. Step 3: Cross multiply
    23,791.60x = 32,830.14 × 13,718.08
  4. Step 4: Simplify right side
    23,791.60x = 450,366,486.93
  5. Step 5: Solve for x
    x = 450,366,486.93/23,791.60
  6. Step 6: Final answer
    x = 18,929.64

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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.