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Finding the Fourth Proportional to 15,740.38, 23,614.65 and 6,973.21

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Solution

The fourth proportional to 15,740.38, 23,614.65 and 6,973.21 is: 10,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740.38 : 23,614.65 = 6,973.21 : x
  2. Step 2: Convert to fraction form
    15,740.38/23,614.65 = 6,973.21/x
  3. Step 3: Cross multiply
    15,740.38x = 23,614.65 × 6,973.21
  4. Step 4: Simplify right side
    15,740.38x = 164,669,913.53
  5. Step 5: Solve for x
    x = 164,669,913.53/15,740.38
  6. Step 6: Final answer
    x = 10,461.62

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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.