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Finding the Fourth Proportional to 12,563.24, 17,335.98 and 7,259.76

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Solution

The fourth proportional to 12,563.24, 17,335.98 and 7,259.76 is: 10,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.24 : 17,335.98 = 7,259.76 : x
  2. Step 2: Convert to fraction form
    12,563.24/17,335.98 = 7,259.76/x
  3. Step 3: Cross multiply
    12,563.24x = 17,335.98 × 7,259.76
  4. Step 4: Simplify right side
    12,563.24x = 125,855,054.16
  5. Step 5: Solve for x
    x = 125,855,054.16/12,563.24
  6. Step 6: Final answer
    x = 10,017.73

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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.