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Finding the Fourth Proportional to 24,607.60, 36,916.72 and 7,969.30

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Solution

The fourth proportional to 24,607.60, 36,916.72 and 7,969.30 is: 11,955.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,607.60 : 36,916.72 = 7,969.30 : x
  2. Step 2: Convert to fraction form
    24,607.60/36,916.72 = 7,969.30/x
  3. Step 3: Cross multiply
    24,607.60x = 36,916.72 × 7,969.30
  4. Step 4: Simplify right side
    24,607.60x = 294,200,416.70
  5. Step 5: Solve for x
    x = 294,200,416.70/24,607.60
  6. Step 6: Final answer
    x = 11,955.67

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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.