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Finding the Fourth Proportional to 27,004, 37,266.96 and 15,829.60

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Solution

The fourth proportional to 27,004, 37,266.96 and 15,829.60 is: 21,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004 : 37,266.96 = 15,829.60 : x
  2. Step 2: Convert to fraction form
    27,004/37,266.96 = 15,829.60/x
  3. Step 3: Cross multiply
    27,004x = 37,266.96 × 15,829.60
  4. Step 4: Simplify right side
    27,004x = 589,921,070.02
  5. Step 5: Solve for x
    x = 589,921,070.02/27,004
  6. Step 6: Final answer
    x = 21,845.69

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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.