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Finding the Fourth Proportional to 13,314.64, 19,974.52 and 5,106

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Solution

The fourth proportional to 13,314.64, 19,974.52 and 5,106 is: 7,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.64 : 19,974.52 = 5,106 : x
  2. Step 2: Convert to fraction form
    13,314.64/19,974.52 = 5,106/x
  3. Step 3: Cross multiply
    13,314.64x = 19,974.52 × 5,106
  4. Step 4: Simplify right side
    13,314.64x = 101,989,899.12
  5. Step 5: Solve for x
    x = 101,989,899.12/13,314.64
  6. Step 6: Final answer
    x = 7,659.98

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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.