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Finding the Fourth Proportional to 12,901.50, 17,806.59 and 7,312.62

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Solution

The fourth proportional to 12,901.50, 17,806.59 and 7,312.62 is: 10,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.50 : 17,806.59 = 7,312.62 : x
  2. Step 2: Convert to fraction form
    12,901.50/17,806.59 = 7,312.62/x
  3. Step 3: Cross multiply
    12,901.50x = 17,806.59 × 7,312.62
  4. Step 4: Simplify right side
    12,901.50x = 130,212,826.17
  5. Step 5: Solve for x
    x = 130,212,826.17/12,901.50
  6. Step 6: Final answer
    x = 10,092.84

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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.