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Finding the Fourth Proportional to 14,656.32, 21,962.61 and 10,282.32

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Solution

The fourth proportional to 14,656.32, 21,962.61 and 10,282.32 is: 15,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.32 : 21,962.61 = 10,282.32 : x
  2. Step 2: Convert to fraction form
    14,656.32/21,962.61 = 10,282.32/x
  3. Step 3: Cross multiply
    14,656.32x = 21,962.61 × 10,282.32
  4. Step 4: Simplify right side
    14,656.32x = 225,826,584.06
  5. Step 5: Solve for x
    x = 225,826,584.06/14,656.32
  6. Step 6: Final answer
    x = 15,408.14

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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.