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Finding the Fourth Proportional to 21,214.81, 31,838.60 and 8,070.94

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Solution

The fourth proportional to 21,214.81, 31,838.60 and 8,070.94 is: 12,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.81 : 31,838.60 = 8,070.94 : x
  2. Step 2: Convert to fraction form
    21,214.81/31,838.60 = 8,070.94/x
  3. Step 3: Cross multiply
    21,214.81x = 31,838.60 × 8,070.94
  4. Step 4: Simplify right side
    21,214.81x = 256,967,430.28
  5. Step 5: Solve for x
    x = 256,967,430.28/21,214.81
  6. Step 6: Final answer
    x = 12,112.64

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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.