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Finding the Fourth Proportional to 12,810.12, 19,218.15 and 5,019

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Solution

The fourth proportional to 12,810.12, 19,218.15 and 5,019 is: 7,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.12 : 19,218.15 = 5,019 : x
  2. Step 2: Convert to fraction form
    12,810.12/19,218.15 = 5,019/x
  3. Step 3: Cross multiply
    12,810.12x = 19,218.15 × 5,019
  4. Step 4: Simplify right side
    12,810.12x = 96,455,894.85
  5. Step 5: Solve for x
    x = 96,455,894.85/12,810.12
  6. Step 6: Final answer
    x = 7,529.66

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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.