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Finding the Fourth Proportional to 35,564.08, 53,346.16 and 9,268.80

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Solution

The fourth proportional to 35,564.08, 53,346.16 and 9,268.80 is: 13,903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,564.08 : 53,346.16 = 9,268.80 : x
  2. Step 2: Convert to fraction form
    35,564.08/53,346.16 = 9,268.80/x
  3. Step 3: Cross multiply
    35,564.08x = 53,346.16 × 9,268.80
  4. Step 4: Simplify right side
    35,564.08x = 494,454,887.81
  5. Step 5: Solve for x
    x = 494,454,887.81/35,564.08
  6. Step 6: Final answer
    x = 13,903.21

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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.