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Finding the Fourth Proportional to 21,827.52, 32,714.73 and 9,964.98

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Solution

The fourth proportional to 21,827.52, 32,714.73 and 9,964.98 is: 14,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827.52 : 32,714.73 = 9,964.98 : x
  2. Step 2: Convert to fraction form
    21,827.52/32,714.73 = 9,964.98/x
  3. Step 3: Cross multiply
    21,827.52x = 32,714.73 × 9,964.98
  4. Step 4: Simplify right side
    21,827.52x = 326,001,630.16
  5. Step 5: Solve for x
    x = 326,001,630.16/21,827.52
  6. Step 6: Final answer
    x = 14,935.35

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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.