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Finding the Fourth Proportional to 15,948, 23,913.96 and 9,286.65

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Solution

The fourth proportional to 15,948, 23,913.96 and 9,286.65 is: 13,925.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,948 : 23,913.96 = 9,286.65 : x
  2. Step 2: Convert to fraction form
    15,948/23,913.96 = 9,286.65/x
  3. Step 3: Cross multiply
    15,948x = 23,913.96 × 9,286.65
  4. Step 4: Simplify right side
    15,948x = 222,080,541.81
  5. Step 5: Solve for x
    x = 222,080,541.81/15,948
  6. Step 6: Final answer
    x = 13,925.29

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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.