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Finding the Fourth Proportional to 15,929.76, 23,900.64 and 7,716

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Solution

The fourth proportional to 15,929.76, 23,900.64 and 7,716 is: 11,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929.76 : 23,900.64 = 7,716 : x
  2. Step 2: Convert to fraction form
    15,929.76/23,900.64 = 7,716/x
  3. Step 3: Cross multiply
    15,929.76x = 23,900.64 × 7,716
  4. Step 4: Simplify right side
    15,929.76x = 184,417,338.24
  5. Step 5: Solve for x
    x = 184,417,338.24/15,929.76
  6. Step 6: Final answer
    x = 11,576.91

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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.