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Finding the Fourth Proportional to 14,005.61, 21,016.61 and 7,770.83

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Solution

The fourth proportional to 14,005.61, 21,016.61 and 7,770.83 is: 11,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.61 : 21,016.61 = 7,770.83 : x
  2. Step 2: Convert to fraction form
    14,005.61/21,016.61 = 7,770.83/x
  3. Step 3: Cross multiply
    14,005.61x = 21,016.61 × 7,770.83
  4. Step 4: Simplify right side
    14,005.61x = 163,316,464.63
  5. Step 5: Solve for x
    x = 163,316,464.63/14,005.61
  6. Step 6: Final answer
    x = 11,660.79

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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.