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Finding the Fourth Proportional to 23,511.76, 32,441.16 and 13,570

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Solution

The fourth proportional to 23,511.76, 32,441.16 and 13,570 is: 18,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,511.76 : 32,441.16 = 13,570 : x
  2. Step 2: Convert to fraction form
    23,511.76/32,441.16 = 13,570/x
  3. Step 3: Cross multiply
    23,511.76x = 32,441.16 × 13,570
  4. Step 4: Simplify right side
    23,511.76x = 440,226,541.20
  5. Step 5: Solve for x
    x = 440,226,541.20/23,511.76
  6. Step 6: Final answer
    x = 18,723.67

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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.