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Finding the Fourth Proportional to 22,887.84, 34,299.12 and 13,529.76

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Solution

The fourth proportional to 22,887.84, 34,299.12 and 13,529.76 is: 20,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,887.84 : 34,299.12 = 13,529.76 : x
  2. Step 2: Convert to fraction form
    22,887.84/34,299.12 = 13,529.76/x
  3. Step 3: Cross multiply
    22,887.84x = 34,299.12 × 13,529.76
  4. Step 4: Simplify right side
    22,887.84x = 464,058,861.81
  5. Step 5: Solve for x
    x = 464,058,861.81/22,887.84
  6. Step 6: Final answer
    x = 20,275.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.