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Finding the Fourth Proportional to 16,858.19, 23,264.20 and 9,784.46

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Solution

The fourth proportional to 16,858.19, 23,264.20 and 9,784.46 is: 13,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.19 : 23,264.20 = 9,784.46 : x
  2. Step 2: Convert to fraction form
    16,858.19/23,264.20 = 9,784.46/x
  3. Step 3: Cross multiply
    16,858.19x = 23,264.20 × 9,784.46
  4. Step 4: Simplify right side
    16,858.19x = 227,627,634.33
  5. Step 5: Solve for x
    x = 227,627,634.33/16,858.19
  6. Step 6: Final answer
    x = 13,502.50

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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.