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Finding the Fourth Proportional to 14,785.34, 20,402.89 and 8,411.04

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Solution

The fourth proportional to 14,785.34, 20,402.89 and 8,411.04 is: 11,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.34 : 20,402.89 = 8,411.04 : x
  2. Step 2: Convert to fraction form
    14,785.34/20,402.89 = 8,411.04/x
  3. Step 3: Cross multiply
    14,785.34x = 20,402.89 × 8,411.04
  4. Step 4: Simplify right side
    14,785.34x = 171,609,502.88
  5. Step 5: Solve for x
    x = 171,609,502.88/14,785.34
  6. Step 6: Final answer
    x = 11,606.74

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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.