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Finding the Fourth Proportional to 22,165.81, 33,219.99 and 9,002.89

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Solution

The fourth proportional to 22,165.81, 33,219.99 and 9,002.89 is: 13,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.81 : 33,219.99 = 9,002.89 : x
  2. Step 2: Convert to fraction form
    22,165.81/33,219.99 = 9,002.89/x
  3. Step 3: Cross multiply
    22,165.81x = 33,219.99 × 9,002.89
  4. Step 4: Simplify right side
    22,165.81x = 299,075,915.77
  5. Step 5: Solve for x
    x = 299,075,915.77/22,165.81
  6. Step 6: Final answer
    x = 13,492.67

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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.