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Finding the Fourth Proportional to 17,440, 24,067.38 and 9,482.32

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Solution

The fourth proportional to 17,440, 24,067.38 and 9,482.32 is: 13,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,440 : 24,067.38 = 9,482.32 : x
  2. Step 2: Convert to fraction form
    17,440/24,067.38 = 9,482.32/x
  3. Step 3: Cross multiply
    17,440x = 24,067.38 × 9,482.32
  4. Step 4: Simplify right side
    17,440x = 228,214,598.72
  5. Step 5: Solve for x
    x = 228,214,598.72/17,440
  6. Step 6: Final answer
    x = 13,085.70

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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.