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Finding the Fourth Proportional to 23,505.32, 32,437.86 and 12,894.96

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Solution

The fourth proportional to 23,505.32, 32,437.86 and 12,894.96 is: 17,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.32 : 32,437.86 = 12,894.96 : x
  2. Step 2: Convert to fraction form
    23,505.32/32,437.86 = 12,894.96/x
  3. Step 3: Cross multiply
    23,505.32x = 32,437.86 × 12,894.96
  4. Step 4: Simplify right side
    23,505.32x = 418,284,907.19
  5. Step 5: Solve for x
    x = 418,284,907.19/23,505.32
  6. Step 6: Final answer
    x = 17,795.33

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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.