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Finding the Fourth Proportional to 22,980.56, 31,712.28 and 14,922.32

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Solution

The fourth proportional to 22,980.56, 31,712.28 and 14,922.32 is: 20,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.56 : 31,712.28 = 14,922.32 : x
  2. Step 2: Convert to fraction form
    22,980.56/31,712.28 = 14,922.32/x
  3. Step 3: Cross multiply
    22,980.56x = 31,712.28 × 14,922.32
  4. Step 4: Simplify right side
    22,980.56x = 473,220,790.09
  5. Step 5: Solve for x
    x = 473,220,790.09/22,980.56
  6. Step 6: Final answer
    x = 20,592.22

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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.