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Finding the Fourth Proportional to 22,776.93, 31,420.31 and 15,214.77

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Solution

The fourth proportional to 22,776.93, 31,420.31 and 15,214.77 is: 20,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.93 : 31,420.31 = 15,214.77 : x
  2. Step 2: Convert to fraction form
    22,776.93/31,420.31 = 15,214.77/x
  3. Step 3: Cross multiply
    22,776.93x = 31,420.31 × 15,214.77
  4. Step 4: Simplify right side
    22,776.93x = 478,052,713.90
  5. Step 5: Solve for x
    x = 478,052,713.90/22,776.93
  6. Step 6: Final answer
    x = 20,988.46

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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.