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Finding the Fourth Proportional to 16,533.12, 24,773.76 and 14,057.76

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Solution

The fourth proportional to 16,533.12, 24,773.76 and 14,057.76 is: 21,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533.12 : 24,773.76 = 14,057.76 : x
  2. Step 2: Convert to fraction form
    16,533.12/24,773.76 = 14,057.76/x
  3. Step 3: Cross multiply
    16,533.12x = 24,773.76 × 14,057.76
  4. Step 4: Simplify right side
    16,533.12x = 348,263,572.38
  5. Step 5: Solve for x
    x = 348,263,572.38/16,533.12
  6. Step 6: Final answer
    x = 21,064.60

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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.