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Finding the Fourth Proportional to 27,384.64, 37,790.70 and 14,809.39

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Solution

The fourth proportional to 27,384.64, 37,790.70 and 14,809.39 is: 20,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384.64 : 37,790.70 = 14,809.39 : x
  2. Step 2: Convert to fraction form
    27,384.64/37,790.70 = 14,809.39/x
  3. Step 3: Cross multiply
    27,384.64x = 37,790.70 × 14,809.39
  4. Step 4: Simplify right side
    27,384.64x = 559,657,214.67
  5. Step 5: Solve for x
    x = 559,657,214.67/27,384.64
  6. Step 6: Final answer
    x = 20,436.90

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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.