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Finding the Fourth Proportional to 35,708.54, 53,567.46 and 13,216.16

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Solution

The fourth proportional to 35,708.54, 53,567.46 and 13,216.16 is: 19,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,708.54 : 53,567.46 = 13,216.16 : x
  2. Step 2: Convert to fraction form
    35,708.54/53,567.46 = 13,216.16/x
  3. Step 3: Cross multiply
    35,708.54x = 53,567.46 × 13,216.16
  4. Step 4: Simplify right side
    35,708.54x = 707,956,122.15
  5. Step 5: Solve for x
    x = 707,956,122.15/35,708.54
  6. Step 6: Final answer
    x = 19,825.96

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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.