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Finding the Fourth Proportional to 14,007.09, 21,013.13 and 4,647.67

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Solution

The fourth proportional to 14,007.09, 21,013.13 and 4,647.67 is: 6,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.09 : 21,013.13 = 4,647.67 : x
  2. Step 2: Convert to fraction form
    14,007.09/21,013.13 = 4,647.67/x
  3. Step 3: Cross multiply
    14,007.09x = 21,013.13 × 4,647.67
  4. Step 4: Simplify right side
    14,007.09x = 97,662,041.37
  5. Step 5: Solve for x
    x = 97,662,041.37/14,007.09
  6. Step 6: Final answer
    x = 6,972.33

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