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Finding the Fourth Proportional to 21,998.40, 30,359.52 and 12,570

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Solution

The fourth proportional to 21,998.40, 30,359.52 and 12,570 is: 17,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998.40 : 30,359.52 = 12,570 : x
  2. Step 2: Convert to fraction form
    21,998.40/30,359.52 = 12,570/x
  3. Step 3: Cross multiply
    21,998.40x = 30,359.52 × 12,570
  4. Step 4: Simplify right side
    21,998.40x = 381,619,166.40
  5. Step 5: Solve for x
    x = 381,619,166.40/21,998.40
  6. Step 6: Final answer
    x = 17,347.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.