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Finding the Fourth Proportional to 13,184.62, 19,782.12 and 5,783.92

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Solution

The fourth proportional to 13,184.62, 19,782.12 and 5,783.92 is: 8,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.62 : 19,782.12 = 5,783.92 : x
  2. Step 2: Convert to fraction form
    13,184.62/19,782.12 = 5,783.92/x
  3. Step 3: Cross multiply
    13,184.62x = 19,782.12 × 5,783.92
  4. Step 4: Simplify right side
    13,184.62x = 114,418,199.51
  5. Step 5: Solve for x
    x = 114,418,199.51/13,184.62
  6. Step 6: Final answer
    x = 8,678.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.