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Finding the Fourth Proportional to 23,564.92, 32,525.70 and 14,607.16

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Solution

The fourth proportional to 23,564.92, 32,525.70 and 14,607.16 is: 20,161.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.92 : 32,525.70 = 14,607.16 : x
  2. Step 2: Convert to fraction form
    23,564.92/32,525.70 = 14,607.16/x
  3. Step 3: Cross multiply
    23,564.92x = 32,525.70 × 14,607.16
  4. Step 4: Simplify right side
    23,564.92x = 475,108,104.01
  5. Step 5: Solve for x
    x = 475,108,104.01/23,564.92
  6. Step 6: Final answer
    x = 20,161.67

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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.