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Finding the Fourth Proportional to 12,864.36, 17,752.98 and 7,559.28

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Solution

The fourth proportional to 12,864.36, 17,752.98 and 7,559.28 is: 10,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.36 : 17,752.98 = 7,559.28 : x
  2. Step 2: Convert to fraction form
    12,864.36/17,752.98 = 7,559.28/x
  3. Step 3: Cross multiply
    12,864.36x = 17,752.98 × 7,559.28
  4. Step 4: Simplify right side
    12,864.36x = 134,199,746.65
  5. Step 5: Solve for x
    x = 134,199,746.65/12,864.36
  6. Step 6: Final answer
    x = 10,431.90

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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.