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Finding the Fourth Proportional to 23,507.82, 32,455.99 and 14,564.81

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Solution

The fourth proportional to 23,507.82, 32,455.99 and 14,564.81 is: 20,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507.82 : 32,455.99 = 14,564.81 : x
  2. Step 2: Convert to fraction form
    23,507.82/32,455.99 = 14,564.81/x
  3. Step 3: Cross multiply
    23,507.82x = 32,455.99 × 14,564.81
  4. Step 4: Simplify right side
    23,507.82x = 472,715,427.06
  5. Step 5: Solve for x
    x = 472,715,427.06/23,507.82
  6. Step 6: Final answer
    x = 20,108.86

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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.