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Finding the Fourth Proportional to 23,756.66, 32,782.47 and 13,146.47

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Solution

The fourth proportional to 23,756.66, 32,782.47 and 13,146.47 is: 18,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,756.66 : 32,782.47 = 13,146.47 : x
  2. Step 2: Convert to fraction form
    23,756.66/32,782.47 = 13,146.47/x
  3. Step 3: Cross multiply
    23,756.66x = 32,782.47 × 13,146.47
  4. Step 4: Simplify right side
    23,756.66x = 430,973,742.05
  5. Step 5: Solve for x
    x = 430,973,742.05/23,756.66
  6. Step 6: Final answer
    x = 18,141.18

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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.