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Finding the Fourth Proportional to 13,134.50, 18,123.13 and 7,829.81

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Solution

The fourth proportional to 13,134.50, 18,123.13 and 7,829.81 is: 10,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.50 : 18,123.13 = 7,829.81 : x
  2. Step 2: Convert to fraction form
    13,134.50/18,123.13 = 7,829.81/x
  3. Step 3: Cross multiply
    13,134.50x = 18,123.13 × 7,829.81
  4. Step 4: Simplify right side
    13,134.50x = 141,900,664.51
  5. Step 5: Solve for x
    x = 141,900,664.51/13,134.50
  6. Step 6: Final answer
    x = 10,803.66

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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.