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Finding the Fourth Proportional to 14,006.38, 21,009.55 and 6,505.84

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Solution

The fourth proportional to 14,006.38, 21,009.55 and 6,505.84 is: 9,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.38 : 21,009.55 = 6,505.84 : x
  2. Step 2: Convert to fraction form
    14,006.38/21,009.55 = 6,505.84/x
  3. Step 3: Cross multiply
    14,006.38x = 21,009.55 × 6,505.84
  4. Step 4: Simplify right side
    14,006.38x = 136,684,770.77
  5. Step 5: Solve for x
    x = 136,684,770.77/14,006.38
  6. Step 6: Final answer
    x = 9,758.75

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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.