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Finding the Fourth Proportional to 23,152.69, 31,948.81 and 13,082

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Solution

The fourth proportional to 23,152.69, 31,948.81 and 13,082 is: 18,052.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.69 : 31,948.81 = 13,082 : x
  2. Step 2: Convert to fraction form
    23,152.69/31,948.81 = 13,082/x
  3. Step 3: Cross multiply
    23,152.69x = 31,948.81 × 13,082
  4. Step 4: Simplify right side
    23,152.69x = 417,954,332.42
  5. Step 5: Solve for x
    x = 417,954,332.42/23,152.69
  6. Step 6: Final answer
    x = 18,052.09

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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.