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Finding the Fourth Proportional to 14,746.62, 20,354.01 and 9,086.21

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Solution

The fourth proportional to 14,746.62, 20,354.01 and 9,086.21 is: 12,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,746.62 : 20,354.01 = 9,086.21 : x
  2. Step 2: Convert to fraction form
    14,746.62/20,354.01 = 9,086.21/x
  3. Step 3: Cross multiply
    14,746.62x = 20,354.01 × 9,086.21
  4. Step 4: Simplify right side
    14,746.62x = 184,940,826.01
  5. Step 5: Solve for x
    x = 184,940,826.01/14,746.62
  6. Step 6: Final answer
    x = 12,541.24

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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.