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Finding the Fourth Proportional to 14,007.84, 21,016.56 and 4,780.32

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Solution

The fourth proportional to 14,007.84, 21,016.56 and 4,780.32 is: 7,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.84 : 21,016.56 = 4,780.32 : x
  2. Step 2: Convert to fraction form
    14,007.84/21,016.56 = 4,780.32/x
  3. Step 3: Cross multiply
    14,007.84x = 21,016.56 × 4,780.32
  4. Step 4: Simplify right side
    14,007.84x = 100,465,882.10
  5. Step 5: Solve for x
    x = 100,465,882.10/14,007.84
  6. Step 6: Final answer
    x = 7,172.12

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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.