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Finding the Fourth Proportional to 22,902.06, 31,607.08 and 12,830.52

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Solution

The fourth proportional to 22,902.06, 31,607.08 and 12,830.52 is: 17,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.06 : 31,607.08 = 12,830.52 : x
  2. Step 2: Convert to fraction form
    22,902.06/31,607.08 = 12,830.52/x
  3. Step 3: Cross multiply
    22,902.06x = 31,607.08 × 12,830.52
  4. Step 4: Simplify right side
    22,902.06x = 405,535,272.08
  5. Step 5: Solve for x
    x = 405,535,272.08/22,902.06
  6. Step 6: Final answer
    x = 17,707.37

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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.