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Finding the Fourth Proportional to 12,069.07, 16,655.38 and 7,036.74

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Solution

The fourth proportional to 12,069.07, 16,655.38 and 7,036.74 is: 9,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.07 : 16,655.38 = 7,036.74 : x
  2. Step 2: Convert to fraction form
    12,069.07/16,655.38 = 7,036.74/x
  3. Step 3: Cross multiply
    12,069.07x = 16,655.38 × 7,036.74
  4. Step 4: Simplify right side
    12,069.07x = 117,199,561.07
  5. Step 5: Solve for x
    x = 117,199,561.07/12,069.07
  6. Step 6: Final answer
    x = 9,710.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.