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Finding the Fourth Proportional to 12,530.67, 17,252.87 and 10,638.51

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Solution

The fourth proportional to 12,530.67, 17,252.87 and 10,638.51 is: 14,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.67 : 17,252.87 = 10,638.51 : x
  2. Step 2: Convert to fraction form
    12,530.67/17,252.87 = 10,638.51/x
  3. Step 3: Cross multiply
    12,530.67x = 17,252.87 × 10,638.51
  4. Step 4: Simplify right side
    12,530.67x = 183,544,776.83
  5. Step 5: Solve for x
    x = 183,544,776.83/12,530.67
  6. Step 6: Final answer
    x = 14,647.64

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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.