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Finding the Fourth Proportional to 24,511.30, 36,756.15 and 9,715.30

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Solution

The fourth proportional to 24,511.30, 36,756.15 and 9,715.30 is: 14,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.30 : 36,756.15 = 9,715.30 : x
  2. Step 2: Convert to fraction form
    24,511.30/36,756.15 = 9,715.30/x
  3. Step 3: Cross multiply
    24,511.30x = 36,756.15 × 9,715.30
  4. Step 4: Simplify right side
    24,511.30x = 357,097,024.10
  5. Step 5: Solve for x
    x = 357,097,024.10/24,511.30
  6. Step 6: Final answer
    x = 14,568.67

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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.