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Finding the Fourth Proportional to 13,808.01, 19,055.40 and 7,840.41

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Solution

The fourth proportional to 13,808.01, 19,055.40 and 7,840.41 is: 10,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.01 : 19,055.40 = 7,840.41 : x
  2. Step 2: Convert to fraction form
    13,808.01/19,055.40 = 7,840.41/x
  3. Step 3: Cross multiply
    13,808.01x = 19,055.40 × 7,840.41
  4. Step 4: Simplify right side
    13,808.01x = 149,402,148.71
  5. Step 5: Solve for x
    x = 149,402,148.71/13,808.01
  6. Step 6: Final answer
    x = 10,819.96

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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.