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Finding the Fourth Proportional to 22,636, 31,240.08 and 12,700

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Solution

The fourth proportional to 22,636, 31,240.08 and 12,700 is: 17,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636 : 31,240.08 = 12,700 : x
  2. Step 2: Convert to fraction form
    22,636/31,240.08 = 12,700/x
  3. Step 3: Cross multiply
    22,636x = 31,240.08 × 12,700
  4. Step 4: Simplify right side
    22,636x = 396,749,016
  5. Step 5: Solve for x
    x = 396,749,016/22,636
  6. Step 6: Final answer
    x = 17,527.35

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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.