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Finding the Fourth Proportional to 27,382.63, 37,788.01 and 14,807.38

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Solution

The fourth proportional to 27,382.63, 37,788.01 and 14,807.38 is: 20,434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.63 : 37,788.01 = 14,807.38 : x
  2. Step 2: Convert to fraction form
    27,382.63/37,788.01 = 14,807.38/x
  3. Step 3: Cross multiply
    27,382.63x = 37,788.01 × 14,807.38
  4. Step 4: Simplify right side
    27,382.63x = 559,541,423.51
  5. Step 5: Solve for x
    x = 559,541,423.51/27,382.63
  6. Step 6: Final answer
    x = 20,434.17

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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.