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Finding the Fourth Proportional to 21,280, 31,920 and 6,688

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Solution

The fourth proportional to 21,280, 31,920 and 6,688 is: 10,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,280 : 31,920 = 6,688 : x
  2. Step 2: Convert to fraction form
    21,280/31,920 = 6,688/x
  3. Step 3: Cross multiply
    21,280x = 31,920 × 6,688
  4. Step 4: Simplify right side
    21,280x = 213,480,960
  5. Step 5: Solve for x
    x = 213,480,960/21,280
  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.