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Finding the Fourth Proportional to 17,842.15, 26,700 and 13,151.08

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Solution

The fourth proportional to 17,842.15, 26,700 and 13,151.08 is: 19,680.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.15 : 26,700 = 13,151.08 : x
  2. Step 2: Convert to fraction form
    17,842.15/26,700 = 13,151.08/x
  3. Step 3: Cross multiply
    17,842.15x = 26,700 × 13,151.08
  4. Step 4: Simplify right side
    17,842.15x = 351,133,836
  5. Step 5: Solve for x
    x = 351,133,836/17,842.15
  6. Step 6: Final answer
    x = 19,680.02

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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.