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Finding the Fourth Proportional to 21,214.80, 31,822.32 and 8,070.90

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Solution

The fourth proportional to 21,214.80, 31,822.32 and 8,070.90 is: 12,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.80 : 31,822.32 = 8,070.90 : x
  2. Step 2: Convert to fraction form
    21,214.80/31,822.32 = 8,070.90/x
  3. Step 3: Cross multiply
    21,214.80x = 31,822.32 × 8,070.90
  4. Step 4: Simplify right side
    21,214.80x = 256,834,762.49
  5. Step 5: Solve for x
    x = 256,834,762.49/21,214.80
  6. Step 6: Final answer
    x = 12,106.40

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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.