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Finding the Fourth Proportional to 16,384.01, 24,577.29 and 5,856.30

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Solution

The fourth proportional to 16,384.01, 24,577.29 and 5,856.30 is: 8,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.01 : 24,577.29 = 5,856.30 : x
  2. Step 2: Convert to fraction form
    16,384.01/24,577.29 = 5,856.30/x
  3. Step 3: Cross multiply
    16,384.01x = 24,577.29 × 5,856.30
  4. Step 4: Simplify right side
    16,384.01x = 143,931,983.43
  5. Step 5: Solve for x
    x = 143,931,983.43/16,384.01
  6. Step 6: Final answer
    x = 8,784.91

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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.