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Finding the Fourth Proportional to 12,855.51, 19,278.25 and 5,460.26

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Solution

The fourth proportional to 12,855.51, 19,278.25 and 5,460.26 is: 8,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.51 : 19,278.25 = 5,460.26 : x
  2. Step 2: Convert to fraction form
    12,855.51/19,278.25 = 5,460.26/x
  3. Step 3: Cross multiply
    12,855.51x = 19,278.25 × 5,460.26
  4. Step 4: Simplify right side
    12,855.51x = 105,264,133.65
  5. Step 5: Solve for x
    x = 105,264,133.65/12,855.51
  6. Step 6: Final answer
    x = 8,188.25

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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.