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Finding the Fourth Proportional to 12,835.40, 19,218.54 and 9,315.32

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Solution

The fourth proportional to 12,835.40, 19,218.54 and 9,315.32 is: 13,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.40 : 19,218.54 = 9,315.32 : x
  2. Step 2: Convert to fraction form
    12,835.40/19,218.54 = 9,315.32/x
  3. Step 3: Cross multiply
    12,835.40x = 19,218.54 × 9,315.32
  4. Step 4: Simplify right side
    12,835.40x = 179,026,850.03
  5. Step 5: Solve for x
    x = 179,026,850.03/12,835.40
  6. Step 6: Final answer
    x = 13,947.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.