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Finding the Fourth Proportional to 27,428.64, 37,851.69 and 14,853.39

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Solution

The fourth proportional to 27,428.64, 37,851.69 and 14,853.39 is: 20,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428.64 : 37,851.69 = 14,853.39 : x
  2. Step 2: Convert to fraction form
    27,428.64/37,851.69 = 14,853.39/x
  3. Step 3: Cross multiply
    27,428.64x = 37,851.69 × 14,853.39
  4. Step 4: Simplify right side
    27,428.64x = 562,225,913.73
  5. Step 5: Solve for x
    x = 562,225,913.73/27,428.64
  6. Step 6: Final answer
    x = 20,497.77

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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.