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Finding the Fourth Proportional to 23,509.82, 32,443.54 and 13,438.47

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Solution

The fourth proportional to 23,509.82, 32,443.54 and 13,438.47 is: 18,545.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.82 : 32,443.54 = 13,438.47 : x
  2. Step 2: Convert to fraction form
    23,509.82/32,443.54 = 13,438.47/x
  3. Step 3: Cross multiply
    23,509.82x = 32,443.54 × 13,438.47
  4. Step 4: Simplify right side
    23,509.82x = 435,991,715.24
  5. Step 5: Solve for x
    x = 435,991,715.24/23,509.82
  6. Step 6: Final answer
    x = 18,545.09

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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.