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Finding the Fourth Proportional to 13,528, 18,669.36 and 7,940.80

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Solution

The fourth proportional to 13,528, 18,669.36 and 7,940.80 is: 10,958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528 : 18,669.36 = 7,940.80 : x
  2. Step 2: Convert to fraction form
    13,528/18,669.36 = 7,940.80/x
  3. Step 3: Cross multiply
    13,528x = 18,669.36 × 7,940.80
  4. Step 4: Simplify right side
    13,528x = 148,249,653.89
  5. Step 5: Solve for x
    x = 148,249,653.89/13,528
  6. Step 6: Final answer
    x = 10,958.73

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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.