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Finding the Fourth Proportional to 21,018.24, 31,530.60 and 7,164

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Solution

The fourth proportional to 21,018.24, 31,530.60 and 7,164 is: 10,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,018.24 : 31,530.60 = 7,164 : x
  2. Step 2: Convert to fraction form
    21,018.24/31,530.60 = 7,164/x
  3. Step 3: Cross multiply
    21,018.24x = 31,530.60 × 7,164
  4. Step 4: Simplify right side
    21,018.24x = 225,885,218.40
  5. Step 5: Solve for x
    x = 225,885,218.40/21,018.24
  6. Step 6: Final answer
    x = 10,747.10

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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.