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Finding the Fourth Proportional to 22,986.42, 34,478.93 and 6,347.46

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Solution

The fourth proportional to 22,986.42, 34,478.93 and 6,347.46 is: 9,521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,986.42 : 34,478.93 = 6,347.46 : x
  2. Step 2: Convert to fraction form
    22,986.42/34,478.93 = 6,347.46/x
  3. Step 3: Cross multiply
    22,986.42x = 34,478.93 × 6,347.46
  4. Step 4: Simplify right side
    22,986.42x = 218,853,597.28
  5. Step 5: Solve for x
    x = 218,853,597.28/22,986.42
  6. Step 6: Final answer
    x = 9,521.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.