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Finding the Fourth Proportional to 16,848.66, 25,288.50 and 8,534.50

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Solution

The fourth proportional to 16,848.66, 25,288.50 and 8,534.50 is: 12,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,848.66 : 25,288.50 = 8,534.50 : x
  2. Step 2: Convert to fraction form
    16,848.66/25,288.50 = 8,534.50/x
  3. Step 3: Cross multiply
    16,848.66x = 25,288.50 × 8,534.50
  4. Step 4: Simplify right side
    16,848.66x = 215,824,703.25
  5. Step 5: Solve for x
    x = 215,824,703.25/16,848.66
  6. Step 6: Final answer
    x = 12,809.61

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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.