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Finding the Fourth Proportional to 14,007.80, 21,007.65 and 5,122.10

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Solution

The fourth proportional to 14,007.80, 21,007.65 and 5,122.10 is: 7,681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.80 : 21,007.65 = 5,122.10 : x
  2. Step 2: Convert to fraction form
    14,007.80/21,007.65 = 5,122.10/x
  3. Step 3: Cross multiply
    14,007.80x = 21,007.65 × 5,122.10
  4. Step 4: Simplify right side
    14,007.80x = 107,603,284.07
  5. Step 5: Solve for x
    x = 107,603,284.07/14,007.80
  6. Step 6: Final answer
    x = 7,681.67

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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.