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Finding the Fourth Proportional to 15,975.32, 23,964 and 4,882.40

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Solution

The fourth proportional to 15,975.32, 23,964 and 4,882.40 is: 7,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975.32 : 23,964 = 4,882.40 : x
  2. Step 2: Convert to fraction form
    15,975.32/23,964 = 4,882.40/x
  3. Step 3: Cross multiply
    15,975.32x = 23,964 × 4,882.40
  4. Step 4: Simplify right side
    15,975.32x = 117,001,833.60
  5. Step 5: Solve for x
    x = 117,001,833.60/15,975.32
  6. Step 6: Final answer
    x = 7,323.91

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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.