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Finding the Fourth Proportional to 15,534.61, 23,306.51 and 7,219.61

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Solution

The fourth proportional to 15,534.61, 23,306.51 and 7,219.61 is: 10,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534.61 : 23,306.51 = 7,219.61 : x
  2. Step 2: Convert to fraction form
    15,534.61/23,306.51 = 7,219.61/x
  3. Step 3: Cross multiply
    15,534.61x = 23,306.51 × 7,219.61
  4. Step 4: Simplify right side
    15,534.61x = 168,263,815.72
  5. Step 5: Solve for x
    x = 168,263,815.72/15,534.61
  6. Step 6: Final answer
    x = 10,831.54

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Why These Related Problems?

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