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Finding the Fourth Proportional to 22,955.64, 34,392.70 and 9,599.20

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Solution

The fourth proportional to 22,955.64, 34,392.70 and 9,599.20 is: 14,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,955.64 : 34,392.70 = 9,599.20 : x
  2. Step 2: Convert to fraction form
    22,955.64/34,392.70 = 9,599.20/x
  3. Step 3: Cross multiply
    22,955.64x = 34,392.70 × 9,599.20
  4. Step 4: Simplify right side
    22,955.64x = 330,142,405.84
  5. Step 5: Solve for x
    x = 330,142,405.84/22,955.64
  6. Step 6: Final answer
    x = 14,381.76

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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.