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Finding the Fourth Proportional to 23,166.40, 34,746.36 and 7,582

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Solution

The fourth proportional to 23,166.40, 34,746.36 and 7,582 is: 11,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,166.40 : 34,746.36 = 7,582 : x
  2. Step 2: Convert to fraction form
    23,166.40/34,746.36 = 7,582/x
  3. Step 3: Cross multiply
    23,166.40x = 34,746.36 × 7,582
  4. Step 4: Simplify right side
    23,166.40x = 263,446,901.52
  5. Step 5: Solve for x
    x = 263,446,901.52/23,166.40
  6. Step 6: Final answer
    x = 11,371.94

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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.