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Finding the Fourth Proportional to 13,095.84, 18,049.68 and 9,685.92

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Solution

The fourth proportional to 13,095.84, 18,049.68 and 9,685.92 is: 13,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,095.84 : 18,049.68 = 9,685.92 : x
  2. Step 2: Convert to fraction form
    13,095.84/18,049.68 = 9,685.92/x
  3. Step 3: Cross multiply
    13,095.84x = 18,049.68 × 9,685.92
  4. Step 4: Simplify right side
    13,095.84x = 174,827,756.51
  5. Step 5: Solve for x
    x = 174,827,756.51/13,095.84
  6. Step 6: Final answer
    x = 13,349.87

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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.