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Finding the Fourth Proportional to 12,071.70, 16,658.46 and 7,036.07

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Solution

The fourth proportional to 12,071.70, 16,658.46 and 7,036.07 is: 9,709.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.70 : 16,658.46 = 7,036.07 : x
  2. Step 2: Convert to fraction form
    12,071.70/16,658.46 = 7,036.07/x
  3. Step 3: Cross multiply
    12,071.70x = 16,658.46 × 7,036.07
  4. Step 4: Simplify right side
    12,071.70x = 117,210,007.36
  5. Step 5: Solve for x
    x = 117,210,007.36/12,071.70
  6. Step 6: Final answer
    x = 9,709.49

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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.