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Finding the Fourth Proportional to 14,338.16, 19,784.76 and 7,964.68

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Solution

The fourth proportional to 14,338.16, 19,784.76 and 7,964.68 is: 10,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.16 : 19,784.76 = 7,964.68 : x
  2. Step 2: Convert to fraction form
    14,338.16/19,784.76 = 7,964.68/x
  3. Step 3: Cross multiply
    14,338.16x = 19,784.76 × 7,964.68
  4. Step 4: Simplify right side
    14,338.16x = 157,579,282.28
  5. Step 5: Solve for x
    x = 157,579,282.28/14,338.16
  6. Step 6: Final answer
    x = 10,990.20

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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.