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Finding the Fourth Proportional to 16,140.62, 22,271.64 and 9,065.70

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Solution

The fourth proportional to 16,140.62, 22,271.64 and 9,065.70 is: 12,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140.62 : 22,271.64 = 9,065.70 : x
  2. Step 2: Convert to fraction form
    16,140.62/22,271.64 = 9,065.70/x
  3. Step 3: Cross multiply
    16,140.62x = 22,271.64 × 9,065.70
  4. Step 4: Simplify right side
    16,140.62x = 201,908,006.75
  5. Step 5: Solve for x
    x = 201,908,006.75/16,140.62
  6. Step 6: Final answer
    x = 12,509.31

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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.