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Finding the Fourth Proportional to 23,104, 34,656 and 6,688

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Solution

The fourth proportional to 23,104, 34,656 and 6,688 is: 10,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104 : 34,656 = 6,688 : x
  2. Step 2: Convert to fraction form
    23,104/34,656 = 6,688/x
  3. Step 3: Cross multiply
    23,104x = 34,656 × 6,688
  4. Step 4: Simplify right side
    23,104x = 231,779,328
  5. Step 5: Solve for x
    x = 231,779,328/23,104
  6. Step 6: Final answer
    x = 10,032

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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.