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Finding the Fourth Proportional to 13,270.50, 19,909.35 and 4,036.50

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Solution

The fourth proportional to 13,270.50, 19,909.35 and 4,036.50 is: 6,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270.50 : 19,909.35 = 4,036.50 : x
  2. Step 2: Convert to fraction form
    13,270.50/19,909.35 = 4,036.50/x
  3. Step 3: Cross multiply
    13,270.50x = 19,909.35 × 4,036.50
  4. Step 4: Simplify right side
    13,270.50x = 80,364,091.28
  5. Step 5: Solve for x
    x = 80,364,091.28/13,270.50
  6. Step 6: Final answer
    x = 6,055.85

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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.