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Finding the Fourth Proportional to 14,529.66, 21,776.19 and 7,865.88

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Solution

The fourth proportional to 14,529.66, 21,776.19 and 7,865.88 is: 11,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,529.66 : 21,776.19 = 7,865.88 : x
  2. Step 2: Convert to fraction form
    14,529.66/21,776.19 = 7,865.88/x
  3. Step 3: Cross multiply
    14,529.66x = 21,776.19 × 7,865.88
  4. Step 4: Simplify right side
    14,529.66x = 171,288,897.40
  5. Step 5: Solve for x
    x = 171,288,897.40/14,529.66
  6. Step 6: Final answer
    x = 11,788.91

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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.