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Finding the Fourth Proportional to 23,219.19, 32,041.58 and 13,148.19

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Solution

The fourth proportional to 23,219.19, 32,041.58 and 13,148.19 is: 18,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,219.19 : 32,041.58 = 13,148.19 : x
  2. Step 2: Convert to fraction form
    23,219.19/32,041.58 = 13,148.19/x
  3. Step 3: Cross multiply
    23,219.19x = 32,041.58 × 13,148.19
  4. Step 4: Simplify right side
    23,219.19x = 421,288,716.00
  5. Step 5: Solve for x
    x = 421,288,716.00/23,219.19
  6. Step 6: Final answer
    x = 18,143.99

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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.