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Finding the Fourth Proportional to 16,858.52, 23,259.60 and 9,783.57

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Solution

The fourth proportional to 16,858.52, 23,259.60 and 9,783.57 is: 13,498.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.52 : 23,259.60 = 9,783.57 : x
  2. Step 2: Convert to fraction form
    16,858.52/23,259.60 = 9,783.57/x
  3. Step 3: Cross multiply
    16,858.52x = 23,259.60 × 9,783.57
  4. Step 4: Simplify right side
    16,858.52x = 227,561,924.77
  5. Step 5: Solve for x
    x = 227,561,924.77/16,858.52
  6. Step 6: Final answer
    x = 13,498.34

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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.