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Finding the Fourth Proportional to 15,802.27, 21,811.47 and 9,830.37

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Solution

The fourth proportional to 15,802.27, 21,811.47 and 9,830.37 is: 13,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,802.27 : 21,811.47 = 9,830.37 : x
  2. Step 2: Convert to fraction form
    15,802.27/21,811.47 = 9,830.37/x
  3. Step 3: Cross multiply
    15,802.27x = 21,811.47 × 9,830.37
  4. Step 4: Simplify right side
    15,802.27x = 214,414,820.34
  5. Step 5: Solve for x
    x = 214,414,820.34/15,802.27
  6. Step 6: Final answer
    x = 13,568.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.