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Finding the Fourth Proportional to 13,811.04, 19,058.76 and 7,842.60

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Solution

The fourth proportional to 13,811.04, 19,058.76 and 7,842.60 is: 10,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.04 : 19,058.76 = 7,842.60 : x
  2. Step 2: Convert to fraction form
    13,811.04/19,058.76 = 7,842.60/x
  3. Step 3: Cross multiply
    13,811.04x = 19,058.76 × 7,842.60
  4. Step 4: Simplify right side
    13,811.04x = 149,470,231.18
  5. Step 5: Solve for x
    x = 149,470,231.18/13,811.04
  6. Step 6: Final answer
    x = 10,822.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.