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Finding the Fourth Proportional to 22,782.42, 31,429.98 and 14,278.68

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Solution

The fourth proportional to 22,782.42, 31,429.98 and 14,278.68 is: 19,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.42 : 31,429.98 = 14,278.68 : x
  2. Step 2: Convert to fraction form
    22,782.42/31,429.98 = 14,278.68/x
  3. Step 3: Cross multiply
    22,782.42x = 31,429.98 × 14,278.68
  4. Step 4: Simplify right side
    22,782.42x = 448,778,626.83
  5. Step 5: Solve for x
    x = 448,778,626.83/22,782.42
  6. Step 6: Final answer
    x = 19,698.46

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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.