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Finding the Fourth Proportional to 16,089.84, 22,205.34 and 9,805.86

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Solution

The fourth proportional to 16,089.84, 22,205.34 and 9,805.86 is: 13,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.84 : 22,205.34 = 9,805.86 : x
  2. Step 2: Convert to fraction form
    16,089.84/22,205.34 = 9,805.86/x
  3. Step 3: Cross multiply
    16,089.84x = 22,205.34 × 9,805.86
  4. Step 4: Simplify right side
    16,089.84x = 217,742,455.29
  5. Step 5: Solve for x
    x = 217,742,455.29/16,089.84
  6. Step 6: Final answer
    x = 13,532.92

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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.