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Finding the Fourth Proportional to 13,419.06, 18,513.73 and 7,830.06

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Solution

The fourth proportional to 13,419.06, 18,513.73 and 7,830.06 is: 10,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.06 : 18,513.73 = 7,830.06 : x
  2. Step 2: Convert to fraction form
    13,419.06/18,513.73 = 7,830.06/x
  3. Step 3: Cross multiply
    13,419.06x = 18,513.73 × 7,830.06
  4. Step 4: Simplify right side
    13,419.06x = 144,963,616.72
  5. Step 5: Solve for x
    x = 144,963,616.72/13,419.06
  6. Step 6: Final answer
    x = 10,802.81

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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.