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Finding the Fourth Proportional to 14,467.76, 19,965.93 and 8,180

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Solution

The fourth proportional to 14,467.76, 19,965.93 and 8,180 is: 11,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.76 : 19,965.93 = 8,180 : x
  2. Step 2: Convert to fraction form
    14,467.76/19,965.93 = 8,180/x
  3. Step 3: Cross multiply
    14,467.76x = 19,965.93 × 8,180
  4. Step 4: Simplify right side
    14,467.76x = 163,321,307.40
  5. Step 5: Solve for x
    x = 163,321,307.40/14,467.76
  6. Step 6: Final answer
    x = 11,288.64

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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.