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Finding the Fourth Proportional to 22,083.84, 30,475.44 and 14,541.12

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Solution

The fourth proportional to 22,083.84, 30,475.44 and 14,541.12 is: 20,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,083.84 : 30,475.44 = 14,541.12 : x
  2. Step 2: Convert to fraction form
    22,083.84/30,475.44 = 14,541.12/x
  3. Step 3: Cross multiply
    22,083.84x = 30,475.44 × 14,541.12
  4. Step 4: Simplify right side
    22,083.84x = 443,147,030.09
  5. Step 5: Solve for x
    x = 443,147,030.09/22,083.84
  6. Step 6: Final answer
    x = 20,066.57

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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.