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Finding the Fourth Proportional to 18,315, 27,477.36 and 7,924.32

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Solution

The fourth proportional to 18,315, 27,477.36 and 7,924.32 is: 11,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,315 : 27,477.36 = 7,924.32 : x
  2. Step 2: Convert to fraction form
    18,315/27,477.36 = 7,924.32/x
  3. Step 3: Cross multiply
    18,315x = 27,477.36 × 7,924.32
  4. Step 4: Simplify right side
    18,315x = 217,739,393.40
  5. Step 5: Solve for x
    x = 217,739,393.40/18,315
  6. Step 6: Final answer
    x = 11,888.58

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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.