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Finding the Fourth Proportional to 22,085.47, 30,478.17 and 12,014.16

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Solution

The fourth proportional to 22,085.47, 30,478.17 and 12,014.16 is: 16,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,085.47 : 30,478.17 = 12,014.16 : x
  2. Step 2: Convert to fraction form
    22,085.47/30,478.17 = 12,014.16/x
  3. Step 3: Cross multiply
    22,085.47x = 30,478.17 × 12,014.16
  4. Step 4: Simplify right side
    22,085.47x = 366,169,610.89
  5. Step 5: Solve for x
    x = 366,169,610.89/22,085.47
  6. Step 6: Final answer
    x = 16,579.66

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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.