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Finding the Fourth Proportional to 25,942.50, 38,851.40 and 14,815.50

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Solution

The fourth proportional to 25,942.50, 38,851.40 and 14,815.50 is: 22,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,942.50 : 38,851.40 = 14,815.50 : x
  2. Step 2: Convert to fraction form
    25,942.50/38,851.40 = 14,815.50/x
  3. Step 3: Cross multiply
    25,942.50x = 38,851.40 × 14,815.50
  4. Step 4: Simplify right side
    25,942.50x = 575,602,916.70
  5. Step 5: Solve for x
    x = 575,602,916.70/25,942.50
  6. Step 6: Final answer
    x = 22,187.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.