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Finding the Fourth Proportional to 23,701.50, 32,707.04 and 13,090.86

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Solution

The fourth proportional to 23,701.50, 32,707.04 and 13,090.86 is: 18,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701.50 : 32,707.04 = 13,090.86 : x
  2. Step 2: Convert to fraction form
    23,701.50/32,707.04 = 13,090.86/x
  3. Step 3: Cross multiply
    23,701.50x = 32,707.04 × 13,090.86
  4. Step 4: Simplify right side
    23,701.50x = 428,163,216.20
  5. Step 5: Solve for x
    x = 428,163,216.20/23,701.50
  6. Step 6: Final answer
    x = 18,064.82

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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.