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Finding the Fourth Proportional to 20,897.36, 31,350.72 and 7,046

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Solution

The fourth proportional to 20,897.36, 31,350.72 and 7,046 is: 10,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.36 : 31,350.72 = 7,046 : x
  2. Step 2: Convert to fraction form
    20,897.36/31,350.72 = 7,046/x
  3. Step 3: Cross multiply
    20,897.36x = 31,350.72 × 7,046
  4. Step 4: Simplify right side
    20,897.36x = 220,897,173.12
  5. Step 5: Solve for x
    x = 220,897,173.12/20,897.36
  6. Step 6: Final answer
    x = 10,570.58

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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.