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Finding the Fourth Proportional to 35,808.21, 53,708.22 and 9,514.98

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Solution

The fourth proportional to 35,808.21, 53,708.22 and 9,514.98 is: 14,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,808.21 : 53,708.22 = 9,514.98 : x
  2. Step 2: Convert to fraction form
    35,808.21/53,708.22 = 9,514.98/x
  3. Step 3: Cross multiply
    35,808.21x = 53,708.22 × 9,514.98
  4. Step 4: Simplify right side
    35,808.21x = 511,032,639.14
  5. Step 5: Solve for x
    x = 511,032,639.14/35,808.21
  6. Step 6: Final answer
    x = 14,271.38

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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.