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Finding the Fourth Proportional to 14,582.70, 21,866.13 and 6,784.62

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Solution

The fourth proportional to 14,582.70, 21,866.13 and 6,784.62 is: 10,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.70 : 21,866.13 = 6,784.62 : x
  2. Step 2: Convert to fraction form
    14,582.70/21,866.13 = 6,784.62/x
  3. Step 3: Cross multiply
    14,582.70x = 21,866.13 × 6,784.62
  4. Step 4: Simplify right side
    14,582.70x = 148,353,382.92
  5. Step 5: Solve for x
    x = 148,353,382.92/14,582.70
  6. Step 6: Final answer
    x = 10,173.25

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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.