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Finding the Fourth Proportional to 22,656.90, 31,266.08 and 12,584.89

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Solution

The fourth proportional to 22,656.90, 31,266.08 and 12,584.89 is: 17,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.90 : 31,266.08 = 12,584.89 : x
  2. Step 2: Convert to fraction form
    22,656.90/31,266.08 = 12,584.89/x
  3. Step 3: Cross multiply
    22,656.90x = 31,266.08 × 12,584.89
  4. Step 4: Simplify right side
    22,656.90x = 393,480,021.20
  5. Step 5: Solve for x
    x = 393,480,021.20/22,656.90
  6. Step 6: Final answer
    x = 17,366.90

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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.