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Finding the Fourth Proportional to 10,013.10, 14,047.50 and 10,013.10

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Solution

The fourth proportional to 10,013.10, 14,047.50 and 10,013.10 is: 14,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.10 : 14,047.50 = 10,013.10 : x
  2. Step 2: Convert to fraction form
    10,013.10/14,047.50 = 10,013.10/x
  3. Step 3: Cross multiply
    10,013.10x = 14,047.50 × 10,013.10
  4. Step 4: Simplify right side
    10,013.10x = 140,659,022.25
  5. Step 5: Solve for x
    x = 140,659,022.25/10,013.10
  6. Step 6: Final answer
    x = 14,047.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.