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Finding the Fourth Proportional to 15,345.70, 23,006.40 and 8,420.20

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Solution

The fourth proportional to 15,345.70, 23,006.40 and 8,420.20 is: 12,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,345.70 : 23,006.40 = 8,420.20 : x
  2. Step 2: Convert to fraction form
    15,345.70/23,006.40 = 8,420.20/x
  3. Step 3: Cross multiply
    15,345.70x = 23,006.40 × 8,420.20
  4. Step 4: Simplify right side
    15,345.70x = 193,718,489.28
  5. Step 5: Solve for x
    x = 193,718,489.28/15,345.70
  6. Step 6: Final answer
    x = 12,623.63

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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.