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Finding the Fourth Proportional to 21,638.16, 32,457.51 and 7,597.62

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Solution

The fourth proportional to 21,638.16, 32,457.51 and 7,597.62 is: 11,396.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.16 : 32,457.51 = 7,597.62 : x
  2. Step 2: Convert to fraction form
    21,638.16/32,457.51 = 7,597.62/x
  3. Step 3: Cross multiply
    21,638.16x = 32,457.51 × 7,597.62
  4. Step 4: Simplify right side
    21,638.16x = 246,599,827.13
  5. Step 5: Solve for x
    x = 246,599,827.13/21,638.16
  6. Step 6: Final answer
    x = 11,396.52

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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.