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Finding the Fourth Proportional to 35,486.40, 53,238.14 and 13,299.97

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Solution

The fourth proportional to 35,486.40, 53,238.14 and 13,299.97 is: 19,953.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,486.40 : 53,238.14 = 13,299.97 : x
  2. Step 2: Convert to fraction form
    35,486.40/53,238.14 = 13,299.97/x
  3. Step 3: Cross multiply
    35,486.40x = 53,238.14 × 13,299.97
  4. Step 4: Simplify right side
    35,486.40x = 708,065,664.86
  5. Step 5: Solve for x
    x = 708,065,664.86/35,486.40
  6. Step 6: Final answer
    x = 19,953.16

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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.