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Finding the Fourth Proportional to 14,853.84, 22,281.84 and 6,089.28

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Solution

The fourth proportional to 14,853.84, 22,281.84 and 6,089.28 is: 9,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.84 : 22,281.84 = 6,089.28 : x
  2. Step 2: Convert to fraction form
    14,853.84/22,281.84 = 6,089.28/x
  3. Step 3: Cross multiply
    14,853.84x = 22,281.84 × 6,089.28
  4. Step 4: Simplify right side
    14,853.84x = 135,680,362.68
  5. Step 5: Solve for x
    x = 135,680,362.68/14,853.84
  6. Step 6: Final answer
    x = 9,134.36

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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.