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Finding the Fourth Proportional to 27,549, 38,017.34 and 14,973.80

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Solution

The fourth proportional to 27,549, 38,017.34 and 14,973.80 is: 20,663.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,549 : 38,017.34 = 14,973.80 : x
  2. Step 2: Convert to fraction form
    27,549/38,017.34 = 14,973.80/x
  3. Step 3: Cross multiply
    27,549x = 38,017.34 × 14,973.80
  4. Step 4: Simplify right side
    27,549x = 569,264,045.69
  5. Step 5: Solve for x
    x = 569,264,045.69/27,549
  6. Step 6: Final answer
    x = 20,663.69

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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.