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Finding the Fourth Proportional to 12,830.96, 17,714.09 and 9,782.15

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Solution

The fourth proportional to 12,830.96, 17,714.09 and 9,782.15 is: 13,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.96 : 17,714.09 = 9,782.15 : x
  2. Step 2: Convert to fraction form
    12,830.96/17,714.09 = 9,782.15/x
  3. Step 3: Cross multiply
    12,830.96x = 17,714.09 × 9,782.15
  4. Step 4: Simplify right side
    12,830.96x = 173,281,748.01
  5. Step 5: Solve for x
    x = 173,281,748.01/12,830.96
  6. Step 6: Final answer
    x = 13,504.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.