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Finding the Fourth Proportional to 16,355.98, 24,533.87 and 9,784

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Solution

The fourth proportional to 16,355.98, 24,533.87 and 9,784 is: 14,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,355.98 : 24,533.87 = 9,784 : x
  2. Step 2: Convert to fraction form
    16,355.98/24,533.87 = 9,784/x
  3. Step 3: Cross multiply
    16,355.98x = 24,533.87 × 9,784
  4. Step 4: Simplify right side
    16,355.98x = 240,039,384.08
  5. Step 5: Solve for x
    x = 240,039,384.08/16,355.98
  6. Step 6: Final answer
    x = 14,675.94

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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.