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Finding the Fourth Proportional to 27,567.48, 38,030.94 and 16,383

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Solution

The fourth proportional to 27,567.48, 38,030.94 and 16,383 is: 22,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567.48 : 38,030.94 = 16,383 : x
  2. Step 2: Convert to fraction form
    27,567.48/38,030.94 = 16,383/x
  3. Step 3: Cross multiply
    27,567.48x = 38,030.94 × 16,383
  4. Step 4: Simplify right side
    27,567.48x = 623,060,890.02
  5. Step 5: Solve for x
    x = 623,060,890.02/27,567.48
  6. Step 6: Final answer
    x = 22,601.30

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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.