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Finding the Fourth Proportional to 16,434.96, 22,709.16 and 14,335.44

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Solution

The fourth proportional to 16,434.96, 22,709.16 and 14,335.44 is: 19,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.96 : 22,709.16 = 14,335.44 : x
  2. Step 2: Convert to fraction form
    16,434.96/22,709.16 = 14,335.44/x
  3. Step 3: Cross multiply
    16,434.96x = 22,709.16 × 14,335.44
  4. Step 4: Simplify right side
    16,434.96x = 325,545,800.63
  5. Step 5: Solve for x
    x = 325,545,800.63/16,434.96
  6. Step 6: Final answer
    x = 19,808.13

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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.