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Finding the Fourth Proportional to 13,284.14, 18,332.06 and 7,618.91

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Solution

The fourth proportional to 13,284.14, 18,332.06 and 7,618.91 is: 10,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.14 : 18,332.06 = 7,618.91 : x
  2. Step 2: Convert to fraction form
    13,284.14/18,332.06 = 7,618.91/x
  3. Step 3: Cross multiply
    13,284.14x = 18,332.06 × 7,618.91
  4. Step 4: Simplify right side
    13,284.14x = 139,670,185.50
  5. Step 5: Solve for x
    x = 139,670,185.50/13,284.14
  6. Step 6: Final answer
    x = 10,514.06

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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.