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Finding the Fourth Proportional to 13,114.07, 19,656.79 and 6,455.15

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Solution

The fourth proportional to 13,114.07, 19,656.79 and 6,455.15 is: 9,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.07 : 19,656.79 = 6,455.15 : x
  2. Step 2: Convert to fraction form
    13,114.07/19,656.79 = 6,455.15/x
  3. Step 3: Cross multiply
    13,114.07x = 19,656.79 × 6,455.15
  4. Step 4: Simplify right side
    13,114.07x = 126,887,397.41
  5. Step 5: Solve for x
    x = 126,887,397.41/13,114.07
  6. Step 6: Final answer
    x = 9,675.67

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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.