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Finding the Fourth Proportional to 15,742.80, 23,612.13 and 4,650.66

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Solution

The fourth proportional to 15,742.80, 23,612.13 and 4,650.66 is: 6,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.80 : 23,612.13 = 4,650.66 : x
  2. Step 2: Convert to fraction form
    15,742.80/23,612.13 = 4,650.66/x
  3. Step 3: Cross multiply
    15,742.80x = 23,612.13 × 4,650.66
  4. Step 4: Simplify right side
    15,742.80x = 109,811,988.51
  5. Step 5: Solve for x
    x = 109,811,988.51/15,742.80
  6. Step 6: Final answer
    x = 6,975.38

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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.