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Finding the Fourth Proportional to 35,809.24, 53,710.08 and 9,516.64

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Solution

The fourth proportional to 35,809.24, 53,710.08 and 9,516.64 is: 14,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,809.24 : 53,710.08 = 9,516.64 : x
  2. Step 2: Convert to fraction form
    35,809.24/53,710.08 = 9,516.64/x
  3. Step 3: Cross multiply
    35,809.24x = 53,710.08 × 9,516.64
  4. Step 4: Simplify right side
    35,809.24x = 511,139,495.73
  5. Step 5: Solve for x
    x = 511,139,495.73/35,809.24
  6. Step 6: Final answer
    x = 14,273.96

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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.