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Finding the Fourth Proportional to 15,416.01, 21,274.11 and 8,342.46

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Solution

The fourth proportional to 15,416.01, 21,274.11 and 8,342.46 is: 11,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416.01 : 21,274.11 = 8,342.46 : x
  2. Step 2: Convert to fraction form
    15,416.01/21,274.11 = 8,342.46/x
  3. Step 3: Cross multiply
    15,416.01x = 21,274.11 × 8,342.46
  4. Step 4: Simplify right side
    15,416.01x = 177,478,411.71
  5. Step 5: Solve for x
    x = 177,478,411.71/15,416.01
  6. Step 6: Final answer
    x = 11,512.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.