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Finding the Fourth Proportional to 15,756.78, 23,629.68 and 4,660.50

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Solution

The fourth proportional to 15,756.78, 23,629.68 and 4,660.50 is: 6,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.78 : 23,629.68 = 4,660.50 : x
  2. Step 2: Convert to fraction form
    15,756.78/23,629.68 = 4,660.50/x
  3. Step 3: Cross multiply
    15,756.78x = 23,629.68 × 4,660.50
  4. Step 4: Simplify right side
    15,756.78x = 110,126,123.64
  5. Step 5: Solve for x
    x = 110,126,123.64/15,756.78
  6. Step 6: Final answer
    x = 6,989.13

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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.