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Finding the Fourth Proportional to 21,714.45, 32,547.51 and 9,244.89

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Solution

The fourth proportional to 21,714.45, 32,547.51 and 9,244.89 is: 13,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.45 : 32,547.51 = 9,244.89 : x
  2. Step 2: Convert to fraction form
    21,714.45/32,547.51 = 9,244.89/x
  3. Step 3: Cross multiply
    21,714.45x = 32,547.51 × 9,244.89
  4. Step 4: Simplify right side
    21,714.45x = 300,898,149.72
  5. Step 5: Solve for x
    x = 300,898,149.72/21,714.45
  6. Step 6: Final answer
    x = 13,857.05

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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.