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Finding the Fourth Proportional to 12,838.28, 19,256.36 and 5,047.10

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Solution

The fourth proportional to 12,838.28, 19,256.36 and 5,047.10 is: 7,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.28 : 19,256.36 = 5,047.10 : x
  2. Step 2: Convert to fraction form
    12,838.28/19,256.36 = 5,047.10/x
  3. Step 3: Cross multiply
    12,838.28x = 19,256.36 × 5,047.10
  4. Step 4: Simplify right side
    12,838.28x = 97,188,653.04
  5. Step 5: Solve for x
    x = 97,188,653.04/12,838.28
  6. Step 6: Final answer
    x = 7,570.23

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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.