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Finding the Fourth Proportional to 23,818.65, 32,867.40 and 13,208.07

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Solution

The fourth proportional to 23,818.65, 32,867.40 and 13,208.07 is: 18,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.65 : 32,867.40 = 13,208.07 : x
  2. Step 2: Convert to fraction form
    23,818.65/32,867.40 = 13,208.07/x
  3. Step 3: Cross multiply
    23,818.65x = 32,867.40 × 13,208.07
  4. Step 4: Simplify right side
    23,818.65x = 434,114,919.92
  5. Step 5: Solve for x
    x = 434,114,919.92/23,818.65
  6. Step 6: Final answer
    x = 18,225.84

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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.