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Finding the Fourth Proportional to 13,057.53, 19,568.58 and 9,530.99

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Solution

The fourth proportional to 13,057.53, 19,568.58 and 9,530.99 is: 14,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.53 : 19,568.58 = 9,530.99 : x
  2. Step 2: Convert to fraction form
    13,057.53/19,568.58 = 9,530.99/x
  3. Step 3: Cross multiply
    13,057.53x = 19,568.58 × 9,530.99
  4. Step 4: Simplify right side
    13,057.53x = 186,507,940.29
  5. Step 5: Solve for x
    x = 186,507,940.29/13,057.53
  6. Step 6: Final answer
    x = 14,283.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.