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Finding the Fourth Proportional to 13,018.42, 19,448.48 and 8,300.83

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Solution

The fourth proportional to 13,018.42, 19,448.48 and 8,300.83 is: 12,400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,018.42 : 19,448.48 = 8,300.83 : x
  2. Step 2: Convert to fraction form
    13,018.42/19,448.48 = 8,300.83/x
  3. Step 3: Cross multiply
    13,018.42x = 19,448.48 × 8,300.83
  4. Step 4: Simplify right side
    13,018.42x = 161,438,526.24
  5. Step 5: Solve for x
    x = 161,438,526.24/13,018.42
  6. Step 6: Final answer
    x = 12,400.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.