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Finding the Fourth Proportional to 27,374, 37,776.21 and 14,798.84

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Solution

The fourth proportional to 27,374, 37,776.21 and 14,798.84 is: 20,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,374 : 37,776.21 = 14,798.84 : x
  2. Step 2: Convert to fraction form
    27,374/37,776.21 = 14,798.84/x
  3. Step 3: Cross multiply
    27,374x = 37,776.21 × 14,798.84
  4. Step 4: Simplify right side
    27,374x = 559,044,087.60
  5. Step 5: Solve for x
    x = 559,044,087.60/27,374
  6. Step 6: Final answer
    x = 20,422.45

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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.