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Finding the Fourth Proportional to 12,700.54, 17,528.76 and 7,665.48

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Solution

The fourth proportional to 12,700.54, 17,528.76 and 7,665.48 is: 10,579.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.54 : 17,528.76 = 7,665.48 : x
  2. Step 2: Convert to fraction form
    12,700.54/17,528.76 = 7,665.48/x
  3. Step 3: Cross multiply
    12,700.54x = 17,528.76 × 7,665.48
  4. Step 4: Simplify right side
    12,700.54x = 134,366,320.88
  5. Step 5: Solve for x
    x = 134,366,320.88/12,700.54
  6. Step 6: Final answer
    x = 10,579.58

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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.