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Finding the Fourth Proportional to 16,534.26, 24,801.39 and 6,146.01

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Solution

The fourth proportional to 16,534.26, 24,801.39 and 6,146.01 is: 9,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.26 : 24,801.39 = 6,146.01 : x
  2. Step 2: Convert to fraction form
    16,534.26/24,801.39 = 6,146.01/x
  3. Step 3: Cross multiply
    16,534.26x = 24,801.39 × 6,146.01
  4. Step 4: Simplify right side
    16,534.26x = 152,429,590.95
  5. Step 5: Solve for x
    x = 152,429,590.95/16,534.26
  6. Step 6: Final answer
    x = 9,219.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.