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Finding the Fourth Proportional to 21,282.88, 31,909.51 and 9,430.22

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Solution

The fourth proportional to 21,282.88, 31,909.51 and 9,430.22 is: 14,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,282.88 : 31,909.51 = 9,430.22 : x
  2. Step 2: Convert to fraction form
    21,282.88/31,909.51 = 9,430.22/x
  3. Step 3: Cross multiply
    21,282.88x = 31,909.51 × 9,430.22
  4. Step 4: Simplify right side
    21,282.88x = 300,913,699.39
  5. Step 5: Solve for x
    x = 300,913,699.39/21,282.88
  6. Step 6: Final answer
    x = 14,138.77

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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.