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Finding the Fourth Proportional to 23,219.20, 32,051.66 and 15,670

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Solution

The fourth proportional to 23,219.20, 32,051.66 and 15,670 is: 21,630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,219.20 : 32,051.66 = 15,670 : x
  2. Step 2: Convert to fraction form
    23,219.20/32,051.66 = 15,670/x
  3. Step 3: Cross multiply
    23,219.20x = 32,051.66 × 15,670
  4. Step 4: Simplify right side
    23,219.20x = 502,249,512.20
  5. Step 5: Solve for x
    x = 502,249,512.20/23,219.20
  6. Step 6: Final answer
    x = 21,630.78

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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.