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Finding the Fourth Proportional to 22,549.51, 33,807.18 and 13,663

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Solution

The fourth proportional to 22,549.51, 33,807.18 and 13,663 is: 20,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.51 : 33,807.18 = 13,663 : x
  2. Step 2: Convert to fraction form
    22,549.51/33,807.18 = 13,663/x
  3. Step 3: Cross multiply
    22,549.51x = 33,807.18 × 13,663
  4. Step 4: Simplify right side
    22,549.51x = 461,907,500.34
  5. Step 5: Solve for x
    x = 461,907,500.34/22,549.51
  6. Step 6: Final answer
    x = 20,484.15

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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.