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Finding the Fourth Proportional to 13,133.63, 18,121.93 and 7,828.94

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Solution

The fourth proportional to 13,133.63, 18,121.93 and 7,828.94 is: 10,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.63 : 18,121.93 = 7,828.94 : x
  2. Step 2: Convert to fraction form
    13,133.63/18,121.93 = 7,828.94/x
  3. Step 3: Cross multiply
    13,133.63x = 18,121.93 × 7,828.94
  4. Step 4: Simplify right side
    13,133.63x = 141,875,372.90
  5. Step 5: Solve for x
    x = 141,875,372.90/13,133.63
  6. Step 6: Final answer
    x = 10,802.45

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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.