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Finding the Fourth Proportional to 21,457.48, 29,618.58 and 13,513

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Solution

The fourth proportional to 21,457.48, 29,618.58 and 13,513 is: 18,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.48 : 29,618.58 = 13,513 : x
  2. Step 2: Convert to fraction form
    21,457.48/29,618.58 = 13,513/x
  3. Step 3: Cross multiply
    21,457.48x = 29,618.58 × 13,513
  4. Step 4: Simplify right side
    21,457.48x = 400,235,871.54
  5. Step 5: Solve for x
    x = 400,235,871.54/21,457.48
  6. Step 6: Final answer
    x = 18,652.51

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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.