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Finding the Fourth Proportional to 23,202, 32,018.78 and 12,591.63

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Solution

The fourth proportional to 23,202, 32,018.78 and 12,591.63 is: 17,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202 : 32,018.78 = 12,591.63 : x
  2. Step 2: Convert to fraction form
    23,202/32,018.78 = 12,591.63/x
  3. Step 3: Cross multiply
    23,202x = 32,018.78 × 12,591.63
  4. Step 4: Simplify right side
    23,202x = 403,168,567.85
  5. Step 5: Solve for x
    x = 403,168,567.85/23,202
  6. Step 6: Final answer
    x = 17,376.46

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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.