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Finding the Fourth Proportional to 22,902.26, 31,607.03 and 12,830.50

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Solution

The fourth proportional to 22,902.26, 31,607.03 and 12,830.50 is: 17,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.26 : 31,607.03 = 12,830.50 : x
  2. Step 2: Convert to fraction form
    22,902.26/31,607.03 = 12,830.50/x
  3. Step 3: Cross multiply
    22,902.26x = 31,607.03 × 12,830.50
  4. Step 4: Simplify right side
    22,902.26x = 405,533,998.42
  5. Step 5: Solve for x
    x = 405,533,998.42/22,902.26
  6. Step 6: Final answer
    x = 17,707.16

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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.