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Finding the Fourth Proportional to 16,199.70, 22,349.01 and 9,915.72

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Solution

The fourth proportional to 16,199.70, 22,349.01 and 9,915.72 is: 13,679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.70 : 22,349.01 = 9,915.72 : x
  2. Step 2: Convert to fraction form
    16,199.70/22,349.01 = 9,915.72/x
  3. Step 3: Cross multiply
    16,199.70x = 22,349.01 × 9,915.72
  4. Step 4: Simplify right side
    16,199.70x = 221,606,478.81
  5. Step 5: Solve for x
    x = 221,606,478.81/16,199.70
  6. Step 6: Final answer
    x = 13,679.67

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