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Finding the Fourth Proportional to 23,823, 32,875.83 and 13,214.16

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Solution

The fourth proportional to 23,823, 32,875.83 and 13,214.16 is: 18,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823 : 32,875.83 = 13,214.16 : x
  2. Step 2: Convert to fraction form
    23,823/32,875.83 = 13,214.16/x
  3. Step 3: Cross multiply
    23,823x = 32,875.83 × 13,214.16
  4. Step 4: Simplify right side
    23,823x = 434,426,477.75
  5. Step 5: Solve for x
    x = 434,426,477.75/23,823
  6. Step 6: Final answer
    x = 18,235.59

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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.