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Finding the Fourth Proportional to 14,333.66, 19,789.82 and 9,312.19

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Solution

The fourth proportional to 14,333.66, 19,789.82 and 9,312.19 is: 12,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,333.66 : 19,789.82 = 9,312.19 : x
  2. Step 2: Convert to fraction form
    14,333.66/19,789.82 = 9,312.19/x
  3. Step 3: Cross multiply
    14,333.66x = 19,789.82 × 9,312.19
  4. Step 4: Simplify right side
    14,333.66x = 184,286,467.87
  5. Step 5: Solve for x
    x = 184,286,467.87/14,333.66
  6. Step 6: Final answer
    x = 12,856.91

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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.