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Finding the Fourth Proportional to 23,242.76, 34,877.84 and 9,204.16

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Solution

The fourth proportional to 23,242.76, 34,877.84 and 9,204.16 is: 13,811.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.76 : 34,877.84 = 9,204.16 : x
  2. Step 2: Convert to fraction form
    23,242.76/34,877.84 = 9,204.16/x
  3. Step 3: Cross multiply
    23,242.76x = 34,877.84 × 9,204.16
  4. Step 4: Simplify right side
    23,242.76x = 321,021,219.81
  5. Step 5: Solve for x
    x = 321,021,219.81/23,242.76
  6. Step 6: Final answer
    x = 13,811.67

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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.