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Finding the Fourth Proportional to 19,856.75, 29,778.82 and 6,526.67

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Solution

The fourth proportional to 19,856.75, 29,778.82 and 6,526.67 is: 9,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.75 : 29,778.82 = 6,526.67 : x
  2. Step 2: Convert to fraction form
    19,856.75/29,778.82 = 6,526.67/x
  3. Step 3: Cross multiply
    19,856.75x = 29,778.82 × 6,526.67
  4. Step 4: Simplify right side
    19,856.75x = 194,356,498.50
  5. Step 5: Solve for x
    x = 194,356,498.50/19,856.75
  6. Step 6: Final answer
    x = 9,787.93

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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.