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Finding the Fourth Proportional to 14,401.50, 19,880.74 and 10,156.02

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Solution

The fourth proportional to 14,401.50, 19,880.74 and 10,156.02 is: 14,020.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401.50 : 19,880.74 = 10,156.02 : x
  2. Step 2: Convert to fraction form
    14,401.50/19,880.74 = 10,156.02/x
  3. Step 3: Cross multiply
    14,401.50x = 19,880.74 × 10,156.02
  4. Step 4: Simplify right side
    14,401.50x = 201,909,193.05
  5. Step 5: Solve for x
    x = 201,909,193.05/14,401.50
  6. Step 6: Final answer
    x = 14,020.01

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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.