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Finding the Fourth Proportional to 17,857.72, 26,784.30 and 4,711.08

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Solution

The fourth proportional to 17,857.72, 26,784.30 and 4,711.08 is: 7,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.72 : 26,784.30 = 4,711.08 : x
  2. Step 2: Convert to fraction form
    17,857.72/26,784.30 = 4,711.08/x
  3. Step 3: Cross multiply
    17,857.72x = 26,784.30 × 4,711.08
  4. Step 4: Simplify right side
    17,857.72x = 126,182,980.04
  5. Step 5: Solve for x
    x = 126,182,980.04/17,857.72
  6. Step 6: Final answer
    x = 7,066.02

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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.