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Finding the Fourth Proportional to 15,812.90, 23,727.04 and 7,483

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Solution

The fourth proportional to 15,812.90, 23,727.04 and 7,483 is: 11,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.90 : 23,727.04 = 7,483 : x
  2. Step 2: Convert to fraction form
    15,812.90/23,727.04 = 7,483/x
  3. Step 3: Cross multiply
    15,812.90x = 23,727.04 × 7,483
  4. Step 4: Simplify right side
    15,812.90x = 177,549,440.32
  5. Step 5: Solve for x
    x = 177,549,440.32/15,812.90
  6. Step 6: Final answer
    x = 11,228.14

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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.