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Finding the Fourth Proportional to 14,059.17, 19,401.57 and 7,771.50

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Solution

The fourth proportional to 14,059.17, 19,401.57 and 7,771.50 is: 10,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059.17 : 19,401.57 = 7,771.50 : x
  2. Step 2: Convert to fraction form
    14,059.17/19,401.57 = 7,771.50/x
  3. Step 3: Cross multiply
    14,059.17x = 19,401.57 × 7,771.50
  4. Step 4: Simplify right side
    14,059.17x = 150,779,301.26
  5. Step 5: Solve for x
    x = 150,779,301.26/14,059.17
  6. Step 6: Final answer
    x = 10,724.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.