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Finding the Fourth Proportional to 14,006.66, 21,007.28 and 6,406.02

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Solution

The fourth proportional to 14,006.66, 21,007.28 and 6,406.02 is: 9,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.66 : 21,007.28 = 6,406.02 : x
  2. Step 2: Convert to fraction form
    14,006.66/21,007.28 = 6,406.02/x
  3. Step 3: Cross multiply
    14,006.66x = 21,007.28 × 6,406.02
  4. Step 4: Simplify right side
    14,006.66x = 134,573,071.84
  5. Step 5: Solve for x
    x = 134,573,071.84/14,006.66
  6. Step 6: Final answer
    x = 9,607.80

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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.