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Finding the Fourth Proportional to 14,216, 19,618.86 and 7,928.36

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Solution

The fourth proportional to 14,216, 19,618.86 and 7,928.36 is: 10,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216 : 19,618.86 = 7,928.36 : x
  2. Step 2: Convert to fraction form
    14,216/19,618.86 = 7,928.36/x
  3. Step 3: Cross multiply
    14,216x = 19,618.86 × 7,928.36
  4. Step 4: Simplify right side
    14,216x = 155,545,384.87
  5. Step 5: Solve for x
    x = 155,545,384.87/14,216
  6. Step 6: Final answer
    x = 10,941.57

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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.