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Finding the Fourth Proportional to 12,971.57, 19,475.37 and 9,013.50

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Solution

The fourth proportional to 12,971.57, 19,475.37 and 9,013.50 is: 13,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.57 : 19,475.37 = 9,013.50 : x
  2. Step 2: Convert to fraction form
    12,971.57/19,475.37 = 9,013.50/x
  3. Step 3: Cross multiply
    12,971.57x = 19,475.37 × 9,013.50
  4. Step 4: Simplify right side
    12,971.57x = 175,541,247.50
  5. Step 5: Solve for x
    x = 175,541,247.50/12,971.57
  6. Step 6: Final answer
    x = 13,532.77

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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.