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Finding the Fourth Proportional to 13,322.61, 19,977.06 and 7,086.01

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Solution

The fourth proportional to 13,322.61, 19,977.06 and 7,086.01 is: 10,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.61 : 19,977.06 = 7,086.01 : x
  2. Step 2: Convert to fraction form
    13,322.61/19,977.06 = 7,086.01/x
  3. Step 3: Cross multiply
    13,322.61x = 19,977.06 × 7,086.01
  4. Step 4: Simplify right side
    13,322.61x = 141,557,646.93
  5. Step 5: Solve for x
    x = 141,557,646.93/13,322.61
  6. Step 6: Final answer
    x = 10,625.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.