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Finding the Fourth Proportional to 13,053.74, 19,580.94 and 4,169.06

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Solution

The fourth proportional to 13,053.74, 19,580.94 and 4,169.06 is: 6,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.74 : 19,580.94 = 4,169.06 : x
  2. Step 2: Convert to fraction form
    13,053.74/19,580.94 = 4,169.06/x
  3. Step 3: Cross multiply
    13,053.74x = 19,580.94 × 4,169.06
  4. Step 4: Simplify right side
    13,053.74x = 81,634,015.81
  5. Step 5: Solve for x
    x = 81,634,015.81/13,053.74
  6. Step 6: Final answer
    x = 6,253.69

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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.