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Finding the Fourth Proportional to 13,518.69, 18,656.19 and 7,854.36

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Solution

The fourth proportional to 13,518.69, 18,656.19 and 7,854.36 is: 10,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518.69 : 18,656.19 = 7,854.36 : x
  2. Step 2: Convert to fraction form
    13,518.69/18,656.19 = 7,854.36/x
  3. Step 3: Cross multiply
    13,518.69x = 18,656.19 × 7,854.36
  4. Step 4: Simplify right side
    13,518.69x = 146,532,432.49
  5. Step 5: Solve for x
    x = 146,532,432.49/13,518.69
  6. Step 6: Final answer
    x = 10,839.25

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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.