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Finding the Fourth Proportional to 28,077.16, 38,729.70 and 16,897

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Solution

The fourth proportional to 28,077.16, 38,729.70 and 16,897 is: 23,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,077.16 : 38,729.70 = 16,897 : x
  2. Step 2: Convert to fraction form
    28,077.16/38,729.70 = 16,897/x
  3. Step 3: Cross multiply
    28,077.16x = 38,729.70 × 16,897
  4. Step 4: Simplify right side
    28,077.16x = 654,415,740.90
  5. Step 5: Solve for x
    x = 654,415,740.90/28,077.16
  6. Step 6: Final answer
    x = 23,307.76

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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.