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Finding the Fourth Proportional to 23,405.34, 32,299.48 and 12,795.14

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Solution

The fourth proportional to 23,405.34, 32,299.48 and 12,795.14 is: 17,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.34 : 32,299.48 = 12,795.14 : x
  2. Step 2: Convert to fraction form
    23,405.34/32,299.48 = 12,795.14/x
  3. Step 3: Cross multiply
    23,405.34x = 32,299.48 × 12,795.14
  4. Step 4: Simplify right side
    23,405.34x = 413,276,368.53
  5. Step 5: Solve for x
    x = 413,276,368.53/23,405.34
  6. Step 6: Final answer
    x = 17,657.35

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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.