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Finding the Fourth Proportional to 16,552.64, 24,829.60 and 11,345.60

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Solution

The fourth proportional to 16,552.64, 24,829.60 and 11,345.60 is: 17,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.64 : 24,829.60 = 11,345.60 : x
  2. Step 2: Convert to fraction form
    16,552.64/24,829.60 = 11,345.60/x
  3. Step 3: Cross multiply
    16,552.64x = 24,829.60 × 11,345.60
  4. Step 4: Simplify right side
    16,552.64x = 281,706,709.76
  5. Step 5: Solve for x
    x = 281,706,709.76/16,552.64
  6. Step 6: Final answer
    x = 17,018.84

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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.