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Finding the Fourth Proportional to 13,570.54, 20,356.41 and 7,009.54

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Solution

The fourth proportional to 13,570.54, 20,356.41 and 7,009.54 is: 10,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.54 : 20,356.41 = 7,009.54 : x
  2. Step 2: Convert to fraction form
    13,570.54/20,356.41 = 7,009.54/x
  3. Step 3: Cross multiply
    13,570.54x = 20,356.41 × 7,009.54
  4. Step 4: Simplify right side
    13,570.54x = 142,689,045.55
  5. Step 5: Solve for x
    x = 142,689,045.55/13,570.54
  6. Step 6: Final answer
    x = 10,514.62

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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.