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Finding the Fourth Proportional to 12,503.52, 17,254.08 and 6,914.64

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Solution

The fourth proportional to 12,503.52, 17,254.08 and 6,914.64 is: 9,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.52 : 17,254.08 = 6,914.64 : x
  2. Step 2: Convert to fraction form
    12,503.52/17,254.08 = 6,914.64/x
  3. Step 3: Cross multiply
    12,503.52x = 17,254.08 × 6,914.64
  4. Step 4: Simplify right side
    12,503.52x = 119,305,751.73
  5. Step 5: Solve for x
    x = 119,305,751.73/12,503.52
  6. Step 6: Final answer
    x = 9,541.77

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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.