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Finding the Fourth Proportional to 15,380.16, 23,071.07 and 8,812.68

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Solution

The fourth proportional to 15,380.16, 23,071.07 and 8,812.68 is: 13,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380.16 : 23,071.07 = 8,812.68 : x
  2. Step 2: Convert to fraction form
    15,380.16/23,071.07 = 8,812.68/x
  3. Step 3: Cross multiply
    15,380.16x = 23,071.07 × 8,812.68
  4. Step 4: Simplify right side
    15,380.16x = 203,317,957.17
  5. Step 5: Solve for x
    x = 203,317,957.17/15,380.16
  6. Step 6: Final answer
    x = 13,219.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.