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Finding the Fourth Proportional to 21,665.28, 32,501.76 and 8,156.16

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Solution

The fourth proportional to 21,665.28, 32,501.76 and 8,156.16 is: 12,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.28 : 32,501.76 = 8,156.16 : x
  2. Step 2: Convert to fraction form
    21,665.28/32,501.76 = 8,156.16/x
  3. Step 3: Cross multiply
    21,665.28x = 32,501.76 × 8,156.16
  4. Step 4: Simplify right side
    21,665.28x = 265,089,554.84
  5. Step 5: Solve for x
    x = 265,089,554.84/21,665.28
  6. Step 6: Final answer
    x = 12,235.69

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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.