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Finding the Fourth Proportional to 13,077.50, 19,602.52 and 6,404.80

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Solution

The fourth proportional to 13,077.50, 19,602.52 and 6,404.80 is: 9,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.50 : 19,602.52 = 6,404.80 : x
  2. Step 2: Convert to fraction form
    13,077.50/19,602.52 = 6,404.80/x
  3. Step 3: Cross multiply
    13,077.50x = 19,602.52 × 6,404.80
  4. Step 4: Simplify right side
    13,077.50x = 125,550,220.10
  5. Step 5: Solve for x
    x = 125,550,220.10/13,077.50
  6. Step 6: Final answer
    x = 9,600.48

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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.