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Finding the Fourth Proportional to 19,700, 29,554.86 and 5,849

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Solution

The fourth proportional to 19,700, 29,554.86 and 5,849 is: 8,774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700 : 29,554.86 = 5,849 : x
  2. Step 2: Convert to fraction form
    19,700/29,554.86 = 5,849/x
  3. Step 3: Cross multiply
    19,700x = 29,554.86 × 5,849
  4. Step 4: Simplify right side
    19,700x = 172,866,376.14
  5. Step 5: Solve for x
    x = 172,866,376.14/19,700
  6. Step 6: Final answer
    x = 8,774.94

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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.