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Finding the Fourth Proportional to 14,464.68, 21,697.98 and 5,705.74

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Solution

The fourth proportional to 14,464.68, 21,697.98 and 5,705.74 is: 8,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.68 : 21,697.98 = 5,705.74 : x
  2. Step 2: Convert to fraction form
    14,464.68/21,697.98 = 5,705.74/x
  3. Step 3: Cross multiply
    14,464.68x = 21,697.98 × 5,705.74
  4. Step 4: Simplify right side
    14,464.68x = 123,803,038.13
  5. Step 5: Solve for x
    x = 123,803,038.13/14,464.68
  6. Step 6: Final answer
    x = 8,558.99

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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.