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Finding the Fourth Proportional to 35,810.10, 53,714.88 and 9,516.69

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Solution

The fourth proportional to 35,810.10, 53,714.88 and 9,516.69 is: 14,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,810.10 : 53,714.88 = 9,516.69 : x
  2. Step 2: Convert to fraction form
    35,810.10/53,714.88 = 9,516.69/x
  3. Step 3: Cross multiply
    35,810.10x = 53,714.88 × 9,516.69
  4. Step 4: Simplify right side
    35,810.10x = 511,187,861.35
  5. Step 5: Solve for x
    x = 511,187,861.35/35,810.10
  6. Step 6: Final answer
    x = 14,274.96

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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.