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Finding the Fourth Proportional to 12,784.78, 19,188.06 and 4,999.06

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Solution

The fourth proportional to 12,784.78, 19,188.06 and 4,999.06 is: 7,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.78 : 19,188.06 = 4,999.06 : x
  2. Step 2: Convert to fraction form
    12,784.78/19,188.06 = 4,999.06/x
  3. Step 3: Cross multiply
    12,784.78x = 19,188.06 × 4,999.06
  4. Step 4: Simplify right side
    12,784.78x = 95,922,263.22
  5. Step 5: Solve for x
    x = 95,922,263.22/12,784.78
  6. Step 6: Final answer
    x = 7,502.85

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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.