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Finding the Fourth Proportional to 14,360.76, 19,817.73 and 8,073

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Solution

The fourth proportional to 14,360.76, 19,817.73 and 8,073 is: 11,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,360.76 : 19,817.73 = 8,073 : x
  2. Step 2: Convert to fraction form
    14,360.76/19,817.73 = 8,073/x
  3. Step 3: Cross multiply
    14,360.76x = 19,817.73 × 8,073
  4. Step 4: Simplify right side
    14,360.76x = 159,988,534.29
  5. Step 5: Solve for x
    x = 159,988,534.29/14,360.76
  6. Step 6: Final answer
    x = 11,140.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.