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Finding the Fourth Proportional to 22,242.48, 30,705.74 and 12,809.22

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Solution

The fourth proportional to 22,242.48, 30,705.74 and 12,809.22 is: 17,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,242.48 : 30,705.74 = 12,809.22 : x
  2. Step 2: Convert to fraction form
    22,242.48/30,705.74 = 12,809.22/x
  3. Step 3: Cross multiply
    22,242.48x = 30,705.74 × 12,809.22
  4. Step 4: Simplify right side
    22,242.48x = 393,316,514.88
  5. Step 5: Solve for x
    x = 393,316,514.88/22,242.48
  6. Step 6: Final answer
    x = 17,683.12

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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.