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Finding the Fourth Proportional to 14,150.22, 19,528.53 and 7,863

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Solution

The fourth proportional to 14,150.22, 19,528.53 and 7,863 is: 10,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,150.22 : 19,528.53 = 7,863 : x
  2. Step 2: Convert to fraction form
    14,150.22/19,528.53 = 7,863/x
  3. Step 3: Cross multiply
    14,150.22x = 19,528.53 × 7,863
  4. Step 4: Simplify right side
    14,150.22x = 153,552,831.39
  5. Step 5: Solve for x
    x = 153,552,831.39/14,150.22
  6. Step 6: Final answer
    x = 10,851.62

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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.