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Finding the Fourth Proportional to 13,133.14, 18,123.85 and 7,828.45

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Solution

The fourth proportional to 13,133.14, 18,123.85 and 7,828.45 is: 10,803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.14 : 18,123.85 = 7,828.45 : x
  2. Step 2: Convert to fraction form
    13,133.14/18,123.85 = 7,828.45/x
  3. Step 3: Cross multiply
    13,133.14x = 18,123.85 × 7,828.45
  4. Step 4: Simplify right side
    13,133.14x = 141,881,618.01
  5. Step 5: Solve for x
    x = 141,881,618.01/13,133.14
  6. Step 6: Final answer
    x = 10,803.33

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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.