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Finding the Fourth Proportional to 28,952.24, 43,430.04 and 8,174

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Solution

The fourth proportional to 28,952.24, 43,430.04 and 8,174 is: 12,261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,952.24 : 43,430.04 = 8,174 : x
  2. Step 2: Convert to fraction form
    28,952.24/43,430.04 = 8,174/x
  3. Step 3: Cross multiply
    28,952.24x = 43,430.04 × 8,174
  4. Step 4: Simplify right side
    28,952.24x = 354,997,146.96
  5. Step 5: Solve for x
    x = 354,997,146.96/28,952.24
  6. Step 6: Final answer
    x = 12,261.47

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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.