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Finding the Fourth Proportional to 17,670.64, 24,406.86 and 12,883

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Solution

The fourth proportional to 17,670.64, 24,406.86 and 12,883 is: 17,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.64 : 24,406.86 = 12,883 : x
  2. Step 2: Convert to fraction form
    17,670.64/24,406.86 = 12,883/x
  3. Step 3: Cross multiply
    17,670.64x = 24,406.86 × 12,883
  4. Step 4: Simplify right side
    17,670.64x = 314,433,577.38
  5. Step 5: Solve for x
    x = 314,433,577.38/17,670.64
  6. Step 6: Final answer
    x = 17,794.13

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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.