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Finding the Fourth Proportional to 13,016.64, 19,526.86 and 4,129

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Solution

The fourth proportional to 13,016.64, 19,526.86 and 4,129 is: 6,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.64 : 19,526.86 = 4,129 : x
  2. Step 2: Convert to fraction form
    13,016.64/19,526.86 = 4,129/x
  3. Step 3: Cross multiply
    13,016.64x = 19,526.86 × 4,129
  4. Step 4: Simplify right side
    13,016.64x = 80,626,404.94
  5. Step 5: Solve for x
    x = 80,626,404.94/13,016.64
  6. Step 6: Final answer
    x = 6,194.11

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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.