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Finding the Fourth Proportional to 16,666.25, 23,004.56 and 9,597.47

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Solution

The fourth proportional to 16,666.25, 23,004.56 and 9,597.47 is: 13,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,666.25 : 23,004.56 = 9,597.47 : x
  2. Step 2: Convert to fraction form
    16,666.25/23,004.56 = 9,597.47/x
  3. Step 3: Cross multiply
    16,666.25x = 23,004.56 × 9,597.47
  4. Step 4: Simplify right side
    16,666.25x = 220,785,483.43
  5. Step 5: Solve for x
    x = 220,785,483.43/16,666.25
  6. Step 6: Final answer
    x = 13,247.46

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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.