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Finding the Fourth Proportional to 30,436.64, 45,662.22 and 9,660.14

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Solution

The fourth proportional to 30,436.64, 45,662.22 and 9,660.14 is: 14,492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,436.64 : 45,662.22 = 9,660.14 : x
  2. Step 2: Convert to fraction form
    30,436.64/45,662.22 = 9,660.14/x
  3. Step 3: Cross multiply
    30,436.64x = 45,662.22 × 9,660.14
  4. Step 4: Simplify right side
    30,436.64x = 441,103,437.91
  5. Step 5: Solve for x
    x = 441,103,437.91/30,436.64
  6. Step 6: Final answer
    x = 14,492.51

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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.