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Finding the Fourth Proportional to 15,898.67, 23,848.86 and 4,805.07

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Solution

The fourth proportional to 15,898.67, 23,848.86 and 4,805.07 is: 7,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.67 : 23,848.86 = 4,805.07 : x
  2. Step 2: Convert to fraction form
    15,898.67/23,848.86 = 4,805.07/x
  3. Step 3: Cross multiply
    15,898.67x = 23,848.86 × 4,805.07
  4. Step 4: Simplify right side
    15,898.67x = 114,595,463.91
  5. Step 5: Solve for x
    x = 114,595,463.91/15,898.67
  6. Step 6: Final answer
    x = 7,207.87

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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.