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Finding the Fourth Proportional to 14,469.12, 21,705.60 and 5,232

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Solution

The fourth proportional to 14,469.12, 21,705.60 and 5,232 is: 7,848.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.12 : 21,705.60 = 5,232 : x
  2. Step 2: Convert to fraction form
    14,469.12/21,705.60 = 5,232/x
  3. Step 3: Cross multiply
    14,469.12x = 21,705.60 × 5,232
  4. Step 4: Simplify right side
    14,469.12x = 113,563,699.20
  5. Step 5: Solve for x
    x = 113,563,699.20/14,469.12
  6. Step 6: Final answer
    x = 7,848.69

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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.