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Finding the Fourth Proportional to 13,089.68, 19,602.84 and 7,884.08

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Solution

The fourth proportional to 13,089.68, 19,602.84 and 7,884.08 is: 11,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.68 : 19,602.84 = 7,884.08 : x
  2. Step 2: Convert to fraction form
    13,089.68/19,602.84 = 7,884.08/x
  3. Step 3: Cross multiply
    13,089.68x = 19,602.84 × 7,884.08
  4. Step 4: Simplify right side
    13,089.68x = 154,550,358.79
  5. Step 5: Solve for x
    x = 154,550,358.79/13,089.68
  6. Step 6: Final answer
    x = 11,807.04

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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.