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Finding the Fourth Proportional to 16,316.16, 24,466.80 and 11,388

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Solution

The fourth proportional to 16,316.16, 24,466.80 and 11,388 is: 17,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316.16 : 24,466.80 = 11,388 : x
  2. Step 2: Convert to fraction form
    16,316.16/24,466.80 = 11,388/x
  3. Step 3: Cross multiply
    16,316.16x = 24,466.80 × 11,388
  4. Step 4: Simplify right side
    16,316.16x = 278,627,918.40
  5. Step 5: Solve for x
    x = 278,627,918.40/16,316.16
  6. Step 6: Final answer
    x = 17,076.81

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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.