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Finding the Fourth Proportional to 23,392.80, 32,282.64 and 13,960.08

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Solution

The fourth proportional to 23,392.80, 32,282.64 and 13,960.08 is: 19,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,392.80 : 32,282.64 = 13,960.08 : x
  2. Step 2: Convert to fraction form
    23,392.80/32,282.64 = 13,960.08/x
  3. Step 3: Cross multiply
    23,392.80x = 32,282.64 × 13,960.08
  4. Step 4: Simplify right side
    23,392.80x = 450,668,237.01
  5. Step 5: Solve for x
    x = 450,668,237.01/23,392.80
  6. Step 6: Final answer
    x = 19,265.25

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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.