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Finding the Fourth Proportional to 23,823.51, 32,875.62 and 13,214.13

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Solution

The fourth proportional to 23,823.51, 32,875.62 and 13,214.13 is: 18,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.51 : 32,875.62 = 13,214.13 : x
  2. Step 2: Convert to fraction form
    23,823.51/32,875.62 = 13,214.13/x
  3. Step 3: Cross multiply
    23,823.51x = 32,875.62 × 13,214.13
  4. Step 4: Simplify right side
    23,823.51x = 434,422,716.51
  5. Step 5: Solve for x
    x = 434,422,716.51/23,823.51
  6. Step 6: Final answer
    x = 18,235.04

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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.