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Finding the Fourth Proportional to 23,817.70, 32,870.44 and 13,210.75

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Solution

The fourth proportional to 23,817.70, 32,870.44 and 13,210.75 is: 18,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.70 : 32,870.44 = 13,210.75 : x
  2. Step 2: Convert to fraction form
    23,817.70/32,870.44 = 13,210.75/x
  3. Step 3: Cross multiply
    23,817.70x = 32,870.44 × 13,210.75
  4. Step 4: Simplify right side
    23,817.70x = 434,243,165.23
  5. Step 5: Solve for x
    x = 434,243,165.23/23,817.70
  6. Step 6: Final answer
    x = 18,231.95

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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.