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Finding the Fourth Proportional to 13,323.77, 18,386.14 and 7,654.50

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Solution

The fourth proportional to 13,323.77, 18,386.14 and 7,654.50 is: 10,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.77 : 18,386.14 = 7,654.50 : x
  2. Step 2: Convert to fraction form
    13,323.77/18,386.14 = 7,654.50/x
  3. Step 3: Cross multiply
    13,323.77x = 18,386.14 × 7,654.50
  4. Step 4: Simplify right side
    13,323.77x = 140,736,703.85
  5. Step 5: Solve for x
    x = 140,736,703.85/13,323.77
  6. Step 6: Final answer
    x = 10,562.83

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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.