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Finding the Fourth Proportional to 17,207.64, 25,827.66 and 10,646.64

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Solution

The fourth proportional to 17,207.64, 25,827.66 and 10,646.64 is: 15,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,207.64 : 25,827.66 = 10,646.64 : x
  2. Step 2: Convert to fraction form
    17,207.64/25,827.66 = 10,646.64/x
  3. Step 3: Cross multiply
    17,207.64x = 25,827.66 × 10,646.64
  4. Step 4: Simplify right side
    17,207.64x = 274,977,798.06
  5. Step 5: Solve for x
    x = 274,977,798.06/17,207.64
  6. Step 6: Final answer
    x = 15,979.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.