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Finding the Fourth Proportional to 15,601.86, 23,389.65 and 6,830.10

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Solution

The fourth proportional to 15,601.86, 23,389.65 and 6,830.10 is: 10,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,601.86 : 23,389.65 = 6,830.10 : x
  2. Step 2: Convert to fraction form
    15,601.86/23,389.65 = 6,830.10/x
  3. Step 3: Cross multiply
    15,601.86x = 23,389.65 × 6,830.10
  4. Step 4: Simplify right side
    15,601.86x = 159,753,648.47
  5. Step 5: Solve for x
    x = 159,753,648.47/15,601.86
  6. Step 6: Final answer
    x = 10,239.40

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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.