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Finding the Fourth Proportional to 21,665.76, 32,483.90 and 10,415.16

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Solution

The fourth proportional to 21,665.76, 32,483.90 and 10,415.16 is: 15,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.76 : 32,483.90 = 10,415.16 : x
  2. Step 2: Convert to fraction form
    21,665.76/32,483.90 = 10,415.16/x
  3. Step 3: Cross multiply
    21,665.76x = 32,483.90 × 10,415.16
  4. Step 4: Simplify right side
    21,665.76x = 338,325,015.92
  5. Step 5: Solve for x
    x = 338,325,015.92/21,665.76
  6. Step 6: Final answer
    x = 15,615.65

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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.