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Finding the Fourth Proportional to 22,707.60, 31,336.20 and 12,636

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Solution

The fourth proportional to 22,707.60, 31,336.20 and 12,636 is: 17,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,707.60 : 31,336.20 = 12,636 : x
  2. Step 2: Convert to fraction form
    22,707.60/31,336.20 = 12,636/x
  3. Step 3: Cross multiply
    22,707.60x = 31,336.20 × 12,636
  4. Step 4: Simplify right side
    22,707.60x = 395,964,223.20
  5. Step 5: Solve for x
    x = 395,964,223.20/22,707.60
  6. Step 6: Final answer
    x = 17,437.52

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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.