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Finding the Fourth Proportional to 13,802.78, 19,050.28 and 7,833.26

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Solution

The fourth proportional to 13,802.78, 19,050.28 and 7,833.26 is: 10,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.78 : 19,050.28 = 7,833.26 : x
  2. Step 2: Convert to fraction form
    13,802.78/19,050.28 = 7,833.26/x
  3. Step 3: Cross multiply
    13,802.78x = 19,050.28 × 7,833.26
  4. Step 4: Simplify right side
    13,802.78x = 149,225,681.48
  5. Step 5: Solve for x
    x = 149,225,681.48/13,802.78
  6. Step 6: Final answer
    x = 10,811.28

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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.