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Finding the Fourth Proportional to 15,926.81, 23,864.04 and 9,688.62

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Solution

The fourth proportional to 15,926.81, 23,864.04 and 9,688.62 is: 14,517.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,926.81 : 23,864.04 = 9,688.62 : x
  2. Step 2: Convert to fraction form
    15,926.81/23,864.04 = 9,688.62/x
  3. Step 3: Cross multiply
    15,926.81x = 23,864.04 × 9,688.62
  4. Step 4: Simplify right side
    15,926.81x = 231,209,615.22
  5. Step 5: Solve for x
    x = 231,209,615.22/15,926.81
  6. Step 6: Final answer
    x = 14,517.01

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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.