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Finding the Fourth Proportional to 13,071.12, 19,600.74 and 7,808.46

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Solution

The fourth proportional to 13,071.12, 19,600.74 and 7,808.46 is: 11,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.12 : 19,600.74 = 7,808.46 : x
  2. Step 2: Convert to fraction form
    13,071.12/19,600.74 = 7,808.46/x
  3. Step 3: Cross multiply
    13,071.12x = 19,600.74 × 7,808.46
  4. Step 4: Simplify right side
    13,071.12x = 153,051,594.26
  5. Step 5: Solve for x
    x = 153,051,594.26/13,071.12
  6. Step 6: Final answer
    x = 11,709.14

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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.