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Finding the Fourth Proportional to 12,985.74, 17,929.22 and 8,276.40

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Solution

The fourth proportional to 12,985.74, 17,929.22 and 8,276.40 is: 11,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.74 : 17,929.22 = 8,276.40 : x
  2. Step 2: Convert to fraction form
    12,985.74/17,929.22 = 8,276.40/x
  3. Step 3: Cross multiply
    12,985.74x = 17,929.22 × 8,276.40
  4. Step 4: Simplify right side
    12,985.74x = 148,389,355.03
  5. Step 5: Solve for x
    x = 148,389,355.03/12,985.74
  6. Step 6: Final answer
    x = 11,427.10

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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.