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Finding the Fourth Proportional to 14,045.67, 21,068.64 and 5,724

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Solution

The fourth proportional to 14,045.67, 21,068.64 and 5,724 is: 8,586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,045.67 : 21,068.64 = 5,724 : x
  2. Step 2: Convert to fraction form
    14,045.67/21,068.64 = 5,724/x
  3. Step 3: Cross multiply
    14,045.67x = 21,068.64 × 5,724
  4. Step 4: Simplify right side
    14,045.67x = 120,596,895.36
  5. Step 5: Solve for x
    x = 120,596,895.36/14,045.67
  6. Step 6: Final answer
    x = 8,586.06

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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.