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Finding the Fourth Proportional to 13,823.16, 19,076.11 and 7,535.53

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Solution

The fourth proportional to 13,823.16, 19,076.11 and 7,535.53 is: 10,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.16 : 19,076.11 = 7,535.53 : x
  2. Step 2: Convert to fraction form
    13,823.16/19,076.11 = 7,535.53/x
  3. Step 3: Cross multiply
    13,823.16x = 19,076.11 × 7,535.53
  4. Step 4: Simplify right side
    13,823.16x = 143,748,604.19
  5. Step 5: Solve for x
    x = 143,748,604.19/13,823.16
  6. Step 6: Final answer
    x = 10,399.12

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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.