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Finding the Fourth Proportional to 21,457.48, 29,610.10 and 12,506.44

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Solution

The fourth proportional to 21,457.48, 29,610.10 and 12,506.44 is: 17,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.48 : 29,610.10 = 12,506.44 : x
  2. Step 2: Convert to fraction form
    21,457.48/29,610.10 = 12,506.44/x
  3. Step 3: Cross multiply
    21,457.48x = 29,610.10 × 12,506.44
  4. Step 4: Simplify right side
    21,457.48x = 370,316,939.04
  5. Step 5: Solve for x
    x = 370,316,939.04/21,457.48
  6. Step 6: Final answer
    x = 17,258.17

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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.