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Finding the Fourth Proportional to 13,152.20, 19,731.94 and 7,312.91

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Solution

The fourth proportional to 13,152.20, 19,731.94 and 7,312.91 is: 10,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.20 : 19,731.94 = 7,312.91 : x
  2. Step 2: Convert to fraction form
    13,152.20/19,731.94 = 7,312.91/x
  3. Step 3: Cross multiply
    13,152.20x = 19,731.94 × 7,312.91
  4. Step 4: Simplify right side
    13,152.20x = 144,297,784.40
  5. Step 5: Solve for x
    x = 144,297,784.40/13,152.20
  6. Step 6: Final answer
    x = 10,971.38

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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.