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Finding the Fourth Proportional to 10,285.42, 15,442.68 and 9,815.62

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Solution

The fourth proportional to 10,285.42, 15,442.68 and 9,815.62 is: 14,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.42 : 15,442.68 = 9,815.62 : x
  2. Step 2: Convert to fraction form
    10,285.42/15,442.68 = 9,815.62/x
  3. Step 3: Cross multiply
    10,285.42x = 15,442.68 × 9,815.62
  4. Step 4: Simplify right side
    10,285.42x = 151,579,478.66
  5. Step 5: Solve for x
    x = 151,579,478.66/10,285.42
  6. Step 6: Final answer
    x = 14,737.32

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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.