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Finding the Fourth Proportional to 12,563.36, 17,335.72 and 7,526.46

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Solution

The fourth proportional to 12,563.36, 17,335.72 and 7,526.46 is: 10,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.36 : 17,335.72 = 7,526.46 : x
  2. Step 2: Convert to fraction form
    12,563.36/17,335.72 = 7,526.46/x
  3. Step 3: Cross multiply
    12,563.36x = 17,335.72 × 7,526.46
  4. Step 4: Simplify right side
    12,563.36x = 130,476,603.15
  5. Step 5: Solve for x
    x = 130,476,603.15/12,563.36
  6. Step 6: Final answer
    x = 10,385.49

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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.