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Finding the Fourth Proportional to 13,089.80, 18,065.53 and 7,784.51

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Solution

The fourth proportional to 13,089.80, 18,065.53 and 7,784.51 is: 10,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.80 : 18,065.53 = 7,784.51 : x
  2. Step 2: Convert to fraction form
    13,089.80/18,065.53 = 7,784.51/x
  3. Step 3: Cross multiply
    13,089.80x = 18,065.53 × 7,784.51
  4. Step 4: Simplify right side
    13,089.80x = 140,631,218.34
  5. Step 5: Solve for x
    x = 140,631,218.34/13,089.80
  6. Step 6: Final answer
    x = 10,743.57

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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.