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Finding the Fourth Proportional to 15,904.50, 23,856.78 and 6,670.50

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Solution

The fourth proportional to 15,904.50, 23,856.78 and 6,670.50 is: 10,005.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,904.50 : 23,856.78 = 6,670.50 : x
  2. Step 2: Convert to fraction form
    15,904.50/23,856.78 = 6,670.50/x
  3. Step 3: Cross multiply
    15,904.50x = 23,856.78 × 6,670.50
  4. Step 4: Simplify right side
    15,904.50x = 159,136,650.99
  5. Step 5: Solve for x
    x = 159,136,650.99/15,904.50
  6. Step 6: Final answer
    x = 10,005.76

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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.