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Finding the Fourth Proportional to 22,546.83, 31,101.04 and 14,890.16

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Solution

The fourth proportional to 22,546.83, 31,101.04 and 14,890.16 is: 20,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.83 : 31,101.04 = 14,890.16 : x
  2. Step 2: Convert to fraction form
    22,546.83/31,101.04 = 14,890.16/x
  3. Step 3: Cross multiply
    22,546.83x = 31,101.04 × 14,890.16
  4. Step 4: Simplify right side
    22,546.83x = 463,099,461.77
  5. Step 5: Solve for x
    x = 463,099,461.77/22,546.83
  6. Step 6: Final answer
    x = 20,539.45

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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.