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Finding the Fourth Proportional to 17,666.64, 24,380.36 and 9,709

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Solution

The fourth proportional to 17,666.64, 24,380.36 and 9,709 is: 13,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.64 : 24,380.36 = 9,709 : x
  2. Step 2: Convert to fraction form
    17,666.64/24,380.36 = 9,709/x
  3. Step 3: Cross multiply
    17,666.64x = 24,380.36 × 9,709
  4. Step 4: Simplify right side
    17,666.64x = 236,708,915.24
  5. Step 5: Solve for x
    x = 236,708,915.24/17,666.64
  6. Step 6: Final answer
    x = 13,398.64

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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.