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Finding the Fourth Proportional to 23,068.31, 34,580.60 and 7,475

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Solution

The fourth proportional to 23,068.31, 34,580.60 and 7,475 is: 11,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,068.31 : 34,580.60 = 7,475 : x
  2. Step 2: Convert to fraction form
    23,068.31/34,580.60 = 7,475/x
  3. Step 3: Cross multiply
    23,068.31x = 34,580.60 × 7,475
  4. Step 4: Simplify right side
    23,068.31x = 258,489,947.63
  5. Step 5: Solve for x
    x = 258,489,947.63/23,068.31
  6. Step 6: Final answer
    x = 11,205.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.