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Finding the Fourth Proportional to 17,533.92, 26,294.40 and 7,140

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Solution

The fourth proportional to 17,533.92, 26,294.40 and 7,140 is: 10,707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.92 : 26,294.40 = 7,140 : x
  2. Step 2: Convert to fraction form
    17,533.92/26,294.40 = 7,140/x
  3. Step 3: Cross multiply
    17,533.92x = 26,294.40 × 7,140
  4. Step 4: Simplify right side
    17,533.92x = 187,742,016
  5. Step 5: Solve for x
    x = 187,742,016/17,533.92
  6. Step 6: Final answer
    x = 10,707.36

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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.