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Finding the Fourth Proportional to 13,113.53, 19,670.14 and 7,850.01

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Solution

The fourth proportional to 13,113.53, 19,670.14 and 7,850.01 is: 11,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.53 : 19,670.14 = 7,850.01 : x
  2. Step 2: Convert to fraction form
    13,113.53/19,670.14 = 7,850.01/x
  3. Step 3: Cross multiply
    13,113.53x = 19,670.14 × 7,850.01
  4. Step 4: Simplify right side
    13,113.53x = 154,410,776.08
  5. Step 5: Solve for x
    x = 154,410,776.08/13,113.53
  6. Step 6: Final answer
    x = 11,774.92

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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.