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Finding the Fourth Proportional to 22,775.97, 31,430.89 and 12,705.06

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Solution

The fourth proportional to 22,775.97, 31,430.89 and 12,705.06 is: 17,533.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.97 : 31,430.89 = 12,705.06 : x
  2. Step 2: Convert to fraction form
    22,775.97/31,430.89 = 12,705.06/x
  3. Step 3: Cross multiply
    22,775.97x = 31,430.89 × 12,705.06
  4. Step 4: Simplify right side
    22,775.97x = 399,331,343.30
  5. Step 5: Solve for x
    x = 399,331,343.30/22,775.97
  6. Step 6: Final answer
    x = 17,533.01

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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.