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Finding the Fourth Proportional to 17,856.50, 26,776.08 and 5,374.19

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Solution

The fourth proportional to 17,856.50, 26,776.08 and 5,374.19 is: 8,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856.50 : 26,776.08 = 5,374.19 : x
  2. Step 2: Convert to fraction form
    17,856.50/26,776.08 = 5,374.19/x
  3. Step 3: Cross multiply
    17,856.50x = 26,776.08 × 5,374.19
  4. Step 4: Simplify right side
    17,856.50x = 143,899,607.49
  5. Step 5: Solve for x
    x = 143,899,607.49/17,856.50
  6. Step 6: Final answer
    x = 8,058.67

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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.