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Finding the Fourth Proportional to 14,434.83, 19,914.71 and 8,464.32

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Solution

The fourth proportional to 14,434.83, 19,914.71 and 8,464.32 is: 11,677.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.83 : 19,914.71 = 8,464.32 : x
  2. Step 2: Convert to fraction form
    14,434.83/19,914.71 = 8,464.32/x
  3. Step 3: Cross multiply
    14,434.83x = 19,914.71 × 8,464.32
  4. Step 4: Simplify right side
    14,434.83x = 168,564,435.83
  5. Step 5: Solve for x
    x = 168,564,435.83/14,434.83
  6. Step 6: Final answer
    x = 11,677.62

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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.