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Finding the Fourth Proportional to 15,953.86, 23,930.80 and 7,178.52

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Solution

The fourth proportional to 15,953.86, 23,930.80 and 7,178.52 is: 10,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,953.86 : 23,930.80 = 7,178.52 : x
  2. Step 2: Convert to fraction form
    15,953.86/23,930.80 = 7,178.52/x
  3. Step 3: Cross multiply
    15,953.86x = 23,930.80 × 7,178.52
  4. Step 4: Simplify right side
    15,953.86x = 171,787,798.21
  5. Step 5: Solve for x
    x = 171,787,798.21/15,953.86
  6. Step 6: Final answer
    x = 10,767.79

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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.