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Finding the Fourth Proportional to 21,714.16, 32,527.56 and 16,458.16

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Solution

The fourth proportional to 21,714.16, 32,527.56 and 16,458.16 is: 24,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.16 : 32,527.56 = 16,458.16 : x
  2. Step 2: Convert to fraction form
    21,714.16/32,527.56 = 16,458.16/x
  3. Step 3: Cross multiply
    21,714.16x = 32,527.56 × 16,458.16
  4. Step 4: Simplify right side
    21,714.16x = 535,343,786.89
  5. Step 5: Solve for x
    x = 535,343,786.89/21,714.16
  6. Step 6: Final answer
    x = 24,654.13

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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.