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Finding the Fourth Proportional to 21,070.36, 31,610.22 and 7,219

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Solution

The fourth proportional to 21,070.36, 31,610.22 and 7,219 is: 10,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,070.36 : 31,610.22 = 7,219 : x
  2. Step 2: Convert to fraction form
    21,070.36/31,610.22 = 7,219/x
  3. Step 3: Cross multiply
    21,070.36x = 31,610.22 × 7,219
  4. Step 4: Simplify right side
    21,070.36x = 228,194,178.18
  5. Step 5: Solve for x
    x = 228,194,178.18/21,070.36
  6. Step 6: Final answer
    x = 10,830.10

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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.