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Finding the Fourth Proportional to 15,898.91, 23,847.85 and 7,011.48

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Solution

The fourth proportional to 15,898.91, 23,847.85 and 7,011.48 is: 10,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.91 : 23,847.85 = 7,011.48 : x
  2. Step 2: Convert to fraction form
    15,898.91/23,847.85 = 7,011.48/x
  3. Step 3: Cross multiply
    15,898.91x = 23,847.85 × 7,011.48
  4. Step 4: Simplify right side
    15,898.91x = 167,208,821.51
  5. Step 5: Solve for x
    x = 167,208,821.51/15,898.91
  6. Step 6: Final answer
    x = 10,517.00

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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.