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Finding the Fourth Proportional to 17,440.25, 24,067.40 and 9,482.40

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Solution

The fourth proportional to 17,440.25, 24,067.40 and 9,482.40 is: 13,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,440.25 : 24,067.40 = 9,482.40 : x
  2. Step 2: Convert to fraction form
    17,440.25/24,067.40 = 9,482.40/x
  3. Step 3: Cross multiply
    17,440.25x = 24,067.40 × 9,482.40
  4. Step 4: Simplify right side
    17,440.25x = 228,216,666.35
  5. Step 5: Solve for x
    x = 228,216,666.35/17,440.25
  6. Step 6: Final answer
    x = 13,085.63

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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.