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Finding the Fourth Proportional to 12,660.14, 17,465.32 and 7,352.08

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Solution

The fourth proportional to 12,660.14, 17,465.32 and 7,352.08 is: 10,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,660.14 : 17,465.32 = 7,352.08 : x
  2. Step 2: Convert to fraction form
    12,660.14/17,465.32 = 7,352.08/x
  3. Step 3: Cross multiply
    12,660.14x = 17,465.32 × 7,352.08
  4. Step 4: Simplify right side
    12,660.14x = 128,406,429.87
  5. Step 5: Solve for x
    x = 128,406,429.87/12,660.14
  6. Step 6: Final answer
    x = 10,142.58

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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.