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Finding the Fourth Proportional to 19,955.84, 29,936 and 16,289.28

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Solution

The fourth proportional to 19,955.84, 29,936 and 16,289.28 is: 24,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,955.84 : 29,936 = 16,289.28 : x
  2. Step 2: Convert to fraction form
    19,955.84/29,936 = 16,289.28/x
  3. Step 3: Cross multiply
    19,955.84x = 29,936 × 16,289.28
  4. Step 4: Simplify right side
    19,955.84x = 487,635,886.08
  5. Step 5: Solve for x
    x = 487,635,886.08/19,955.84
  6. Step 6: Final answer
    x = 24,435.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.