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Finding the Fourth Proportional to 16,485.45, 24,720.75 and 9,825.06

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Solution

The fourth proportional to 16,485.45, 24,720.75 and 9,825.06 is: 14,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,485.45 : 24,720.75 = 9,825.06 : x
  2. Step 2: Convert to fraction form
    16,485.45/24,720.75 = 9,825.06/x
  3. Step 3: Cross multiply
    16,485.45x = 24,720.75 × 9,825.06
  4. Step 4: Simplify right side
    16,485.45x = 242,882,852.00
  5. Step 5: Solve for x
    x = 242,882,852.00/16,485.45
  6. Step 6: Final answer
    x = 14,733.16

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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.