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Finding the Fourth Proportional to 21,013.93, 31,522.71 and 6,970.96

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Solution

The fourth proportional to 21,013.93, 31,522.71 and 6,970.96 is: 10,457.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.93 : 31,522.71 = 6,970.96 : x
  2. Step 2: Convert to fraction form
    21,013.93/31,522.71 = 6,970.96/x
  3. Step 3: Cross multiply
    21,013.93x = 31,522.71 × 6,970.96
  4. Step 4: Simplify right side
    21,013.93x = 219,743,550.50
  5. Step 5: Solve for x
    x = 219,743,550.50/21,013.93
  6. Step 6: Final answer
    x = 10,457.04

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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.