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Finding the Fourth Proportional to 21,013.54, 31,522.32 and 6,970.60

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Solution

The fourth proportional to 21,013.54, 31,522.32 and 6,970.60 is: 10,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.54 : 31,522.32 = 6,970.60 : x
  2. Step 2: Convert to fraction form
    21,013.54/31,522.32 = 6,970.60/x
  3. Step 3: Cross multiply
    21,013.54x = 31,522.32 × 6,970.60
  4. Step 4: Simplify right side
    21,013.54x = 219,729,483.79
  5. Step 5: Solve for x
    x = 219,729,483.79/21,013.54
  6. Step 6: Final answer
    x = 10,456.57

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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.