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Finding the Fourth Proportional to 27,827.60, 38,403.65 and 16,503.80

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Solution

The fourth proportional to 27,827.60, 38,403.65 and 16,503.80 is: 22,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.60 : 38,403.65 = 16,503.80 : x
  2. Step 2: Convert to fraction form
    27,827.60/38,403.65 = 16,503.80/x
  3. Step 3: Cross multiply
    27,827.60x = 38,403.65 × 16,503.80
  4. Step 4: Simplify right side
    27,827.60x = 633,806,008.11
  5. Step 5: Solve for x
    x = 633,806,008.11/27,827.60
  6. Step 6: Final answer
    x = 22,776.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.