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Finding the Fourth Proportional to 14,271.30, 21,406.98 and 7,700.58

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Solution

The fourth proportional to 14,271.30, 21,406.98 and 7,700.58 is: 11,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.30 : 21,406.98 = 7,700.58 : x
  2. Step 2: Convert to fraction form
    14,271.30/21,406.98 = 7,700.58/x
  3. Step 3: Cross multiply
    14,271.30x = 21,406.98 × 7,700.58
  4. Step 4: Simplify right side
    14,271.30x = 164,846,162.05
  5. Step 5: Solve for x
    x = 164,846,162.05/14,271.30
  6. Step 6: Final answer
    x = 11,550.89

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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.