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Finding the Fourth Proportional to 23,099.94, 31,877.16 and 13,028.64

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Solution

The fourth proportional to 23,099.94, 31,877.16 and 13,028.64 is: 17,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,099.94 : 31,877.16 = 13,028.64 : x
  2. Step 2: Convert to fraction form
    23,099.94/31,877.16 = 13,028.64/x
  3. Step 3: Cross multiply
    23,099.94x = 31,877.16 × 13,028.64
  4. Step 4: Simplify right side
    23,099.94x = 415,316,041.86
  5. Step 5: Solve for x
    x = 415,316,041.86/23,099.94
  6. Step 6: Final answer
    x = 17,979.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.