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Finding the Fourth Proportional to 12,820.95, 19,230.35 and 4,054.59

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Solution

The fourth proportional to 12,820.95, 19,230.35 and 4,054.59 is: 6,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.95 : 19,230.35 = 4,054.59 : x
  2. Step 2: Convert to fraction form
    12,820.95/19,230.35 = 4,054.59/x
  3. Step 3: Cross multiply
    12,820.95x = 19,230.35 × 4,054.59
  4. Step 4: Simplify right side
    12,820.95x = 77,971,164.53
  5. Step 5: Solve for x
    x = 77,971,164.53/12,820.95
  6. Step 6: Final answer
    x = 6,081.54

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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.