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Finding the Fourth Proportional to 21,158.58, 31,742.32 and 8,010.66

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Solution

The fourth proportional to 21,158.58, 31,742.32 and 8,010.66 is: 12,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,158.58 : 31,742.32 = 8,010.66 : x
  2. Step 2: Convert to fraction form
    21,158.58/31,742.32 = 8,010.66/x
  3. Step 3: Cross multiply
    21,158.58x = 31,742.32 × 8,010.66
  4. Step 4: Simplify right side
    21,158.58x = 254,276,933.13
  5. Step 5: Solve for x
    x = 254,276,933.13/21,158.58
  6. Step 6: Final answer
    x = 12,017.67

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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.