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Finding the Fourth Proportional to 19,830.72, 29,735.61 and 10,475.76

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Solution

The fourth proportional to 19,830.72, 29,735.61 and 10,475.76 is: 15,708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.72 : 29,735.61 = 10,475.76 : x
  2. Step 2: Convert to fraction form
    19,830.72/29,735.61 = 10,475.76/x
  3. Step 3: Cross multiply
    19,830.72x = 29,735.61 × 10,475.76
  4. Step 4: Simplify right side
    19,830.72x = 311,503,113.81
  5. Step 5: Solve for x
    x = 311,503,113.81/19,830.72
  6. Step 6: Final answer
    x = 15,708.11

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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.