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Finding the Fourth Proportional to 16,284.70, 24,427.05 and 9,718.30

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Solution

The fourth proportional to 16,284.70, 24,427.05 and 9,718.30 is: 14,577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.70 : 24,427.05 = 9,718.30 : x
  2. Step 2: Convert to fraction form
    16,284.70/24,427.05 = 9,718.30/x
  3. Step 3: Cross multiply
    16,284.70x = 24,427.05 × 9,718.30
  4. Step 4: Simplify right side
    16,284.70x = 237,389,400.02
  5. Step 5: Solve for x
    x = 237,389,400.02/16,284.70
  6. Step 6: Final answer
    x = 14,577.45

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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.