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Finding the Fourth Proportional to 23,897.16, 35,845.62 and 6,127.74

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Solution

The fourth proportional to 23,897.16, 35,845.62 and 6,127.74 is: 9,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,897.16 : 35,845.62 = 6,127.74 : x
  2. Step 2: Convert to fraction form
    23,897.16/35,845.62 = 6,127.74/x
  3. Step 3: Cross multiply
    23,897.16x = 35,845.62 × 6,127.74
  4. Step 4: Simplify right side
    23,897.16x = 219,652,639.50
  5. Step 5: Solve for x
    x = 219,652,639.50/23,897.16
  6. Step 6: Final answer
    x = 9,191.58

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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.