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Finding the Fourth Proportional to 13,379.63, 18,459.74 and 7,713.65

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Solution

The fourth proportional to 13,379.63, 18,459.74 and 7,713.65 is: 10,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.63 : 18,459.74 = 7,713.65 : x
  2. Step 2: Convert to fraction form
    13,379.63/18,459.74 = 7,713.65/x
  3. Step 3: Cross multiply
    13,379.63x = 18,459.74 × 7,713.65
  4. Step 4: Simplify right side
    13,379.63x = 142,392,038.88
  5. Step 5: Solve for x
    x = 142,392,038.88/13,379.63
  6. Step 6: Final answer
    x = 10,642.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.