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Finding the Fourth Proportional to 14,352.93, 21,529.41 and 7,820.64

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Solution

The fourth proportional to 14,352.93, 21,529.41 and 7,820.64 is: 11,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352.93 : 21,529.41 = 7,820.64 : x
  2. Step 2: Convert to fraction form
    14,352.93/21,529.41 = 7,820.64/x
  3. Step 3: Cross multiply
    14,352.93x = 21,529.41 × 7,820.64
  4. Step 4: Simplify right side
    14,352.93x = 168,373,765.02
  5. Step 5: Solve for x
    x = 168,373,765.02/14,352.93
  6. Step 6: Final answer
    x = 11,730.97

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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.