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Finding the Fourth Proportional to 17,032.80, 23,505.82 and 10,657.36

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Solution

The fourth proportional to 17,032.80, 23,505.82 and 10,657.36 is: 14,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,032.80 : 23,505.82 = 10,657.36 : x
  2. Step 2: Convert to fraction form
    17,032.80/23,505.82 = 10,657.36/x
  3. Step 3: Cross multiply
    17,032.80x = 23,505.82 × 10,657.36
  4. Step 4: Simplify right side
    17,032.80x = 250,509,900.43
  5. Step 5: Solve for x
    x = 250,509,900.43/17,032.80
  6. Step 6: Final answer
    x = 14,707.50

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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.