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Finding the Fourth Proportional to 14,000.56, 19,320.77 and 7,712.94

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Solution

The fourth proportional to 14,000.56, 19,320.77 and 7,712.94 is: 10,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.56 : 19,320.77 = 7,712.94 : x
  2. Step 2: Convert to fraction form
    14,000.56/19,320.77 = 7,712.94/x
  3. Step 3: Cross multiply
    14,000.56x = 19,320.77 × 7,712.94
  4. Step 4: Simplify right side
    14,000.56x = 149,019,939.76
  5. Step 5: Solve for x
    x = 149,019,939.76/14,000.56
  6. Step 6: Final answer
    x = 10,643.86

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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.