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Finding the Fourth Proportional to 21,833.78, 30,142.08 and 14,701.20

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Solution

The fourth proportional to 21,833.78, 30,142.08 and 14,701.20 is: 20,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.78 : 30,142.08 = 14,701.20 : x
  2. Step 2: Convert to fraction form
    21,833.78/30,142.08 = 14,701.20/x
  3. Step 3: Cross multiply
    21,833.78x = 30,142.08 × 14,701.20
  4. Step 4: Simplify right side
    21,833.78x = 443,124,746.50
  5. Step 5: Solve for x
    x = 443,124,746.50/21,833.78
  6. Step 6: Final answer
    x = 20,295.37

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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.