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Finding the Fourth Proportional to 35,884.36, 53,823.24 and 9,588.16

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Solution

The fourth proportional to 35,884.36, 53,823.24 and 9,588.16 is: 14,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,884.36 : 53,823.24 = 9,588.16 : x
  2. Step 2: Convert to fraction form
    35,884.36/53,823.24 = 9,588.16/x
  3. Step 3: Cross multiply
    35,884.36x = 53,823.24 × 9,588.16
  4. Step 4: Simplify right side
    35,884.36x = 516,065,836.84
  5. Step 5: Solve for x
    x = 516,065,836.84/35,884.36
  6. Step 6: Final answer
    x = 14,381.36

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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.