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Finding the Fourth Proportional to 21,126.49, 31,693.68 and 7,802.93

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Solution

The fourth proportional to 21,126.49, 31,693.68 and 7,802.93 is: 11,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,126.49 : 31,693.68 = 7,802.93 : x
  2. Step 2: Convert to fraction form
    21,126.49/31,693.68 = 7,802.93/x
  3. Step 3: Cross multiply
    21,126.49x = 31,693.68 × 7,802.93
  4. Step 4: Simplify right side
    21,126.49x = 247,303,645.72
  5. Step 5: Solve for x
    x = 247,303,645.72/21,126.49
  6. Step 6: Final answer
    x = 11,705.86

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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.