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Finding the Fourth Proportional to 23,771.08, 32,798.54 and 14,214.08

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Solution

The fourth proportional to 23,771.08, 32,798.54 and 14,214.08 is: 19,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,771.08 : 32,798.54 = 14,214.08 : x
  2. Step 2: Convert to fraction form
    23,771.08/32,798.54 = 14,214.08/x
  3. Step 3: Cross multiply
    23,771.08x = 32,798.54 × 14,214.08
  4. Step 4: Simplify right side
    23,771.08x = 466,201,071.44
  5. Step 5: Solve for x
    x = 466,201,071.44/23,771.08
  6. Step 6: Final answer
    x = 19,612.11

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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.