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Finding the Fourth Proportional to 13,071.50, 19,612.21 and 6,054.88

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Solution

The fourth proportional to 13,071.50, 19,612.21 and 6,054.88 is: 9,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.50 : 19,612.21 = 6,054.88 : x
  2. Step 2: Convert to fraction form
    13,071.50/19,612.21 = 6,054.88/x
  3. Step 3: Cross multiply
    13,071.50x = 19,612.21 × 6,054.88
  4. Step 4: Simplify right side
    13,071.50x = 118,749,480.02
  5. Step 5: Solve for x
    x = 118,749,480.02/13,071.50
  6. Step 6: Final answer
    x = 9,084.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.