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Finding the Fourth Proportional to 23,445.96, 35,143.14 and 11,582.16

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Solution

The fourth proportional to 23,445.96, 35,143.14 and 11,582.16 is: 17,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,445.96 : 35,143.14 = 11,582.16 : x
  2. Step 2: Convert to fraction form
    23,445.96/35,143.14 = 11,582.16/x
  3. Step 3: Cross multiply
    23,445.96x = 35,143.14 × 11,582.16
  4. Step 4: Simplify right side
    23,445.96x = 407,033,470.38
  5. Step 5: Solve for x
    x = 407,033,470.38/23,445.96
  6. Step 6: Final answer
    x = 17,360.49

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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.