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Finding the Fourth Proportional to 22,662.30, 31,270.50 and 12,590.58

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Solution

The fourth proportional to 22,662.30, 31,270.50 and 12,590.58 is: 17,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662.30 : 31,270.50 = 12,590.58 : x
  2. Step 2: Convert to fraction form
    22,662.30/31,270.50 = 12,590.58/x
  3. Step 3: Cross multiply
    22,662.30x = 31,270.50 × 12,590.58
  4. Step 4: Simplify right side
    22,662.30x = 393,713,731.89
  5. Step 5: Solve for x
    x = 393,713,731.89/22,662.30
  6. Step 6: Final answer
    x = 17,373.07

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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.