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Finding the Fourth Proportional to 21,530.11, 29,708.90 and 12,457.03

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Solution

The fourth proportional to 21,530.11, 29,708.90 and 12,457.03 is: 17,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.11 : 29,708.90 = 12,457.03 : x
  2. Step 2: Convert to fraction form
    21,530.11/29,708.90 = 12,457.03/x
  3. Step 3: Cross multiply
    21,530.11x = 29,708.90 × 12,457.03
  4. Step 4: Simplify right side
    21,530.11x = 370,084,596.28
  5. Step 5: Solve for x
    x = 370,084,596.28/21,530.11
  6. Step 6: Final answer
    x = 17,189.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.