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Finding the Fourth Proportional to 14,000.20, 19,320.06 and 7,712.80

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Solution

The fourth proportional to 14,000.20, 19,320.06 and 7,712.80 is: 10,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.20 : 19,320.06 = 7,712.80 : x
  2. Step 2: Convert to fraction form
    14,000.20/19,320.06 = 7,712.80/x
  3. Step 3: Cross multiply
    14,000.20x = 19,320.06 × 7,712.80
  4. Step 4: Simplify right side
    14,000.20x = 149,011,758.77
  5. Step 5: Solve for x
    x = 149,011,758.77/14,000.20
  6. Step 6: Final answer
    x = 10,643.55

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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.