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Finding the Fourth Proportional to 21,457.12, 32,174.16 and 7,604.32

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Solution

The fourth proportional to 21,457.12, 32,174.16 and 7,604.32 is: 11,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.12 : 32,174.16 = 7,604.32 : x
  2. Step 2: Convert to fraction form
    21,457.12/32,174.16 = 7,604.32/x
  3. Step 3: Cross multiply
    21,457.12x = 32,174.16 × 7,604.32
  4. Step 4: Simplify right side
    21,457.12x = 244,662,608.37
  5. Step 5: Solve for x
    x = 244,662,608.37/21,457.12
  6. Step 6: Final answer
    x = 11,402.40

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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.