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Finding the Fourth Proportional to 15,581.80, 23,376 and 5,052.40

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Solution

The fourth proportional to 15,581.80, 23,376 and 5,052.40 is: 7,579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,581.80 : 23,376 = 5,052.40 : x
  2. Step 2: Convert to fraction form
    15,581.80/23,376 = 5,052.40/x
  3. Step 3: Cross multiply
    15,581.80x = 23,376 × 5,052.40
  4. Step 4: Simplify right side
    15,581.80x = 118,104,902.40
  5. Step 5: Solve for x
    x = 118,104,902.40/15,581.80
  6. Step 6: Final answer
    x = 7,579.67

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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.