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Finding the Fourth Proportional to 14,646.61, 20,214.69 and 8,984.50

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Solution

The fourth proportional to 14,646.61, 20,214.69 and 8,984.50 is: 12,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.61 : 20,214.69 = 8,984.50 : x
  2. Step 2: Convert to fraction form
    14,646.61/20,214.69 = 8,984.50/x
  3. Step 3: Cross multiply
    14,646.61x = 20,214.69 × 8,984.50
  4. Step 4: Simplify right side
    14,646.61x = 181,618,882.31
  5. Step 5: Solve for x
    x = 181,618,882.31/14,646.61
  6. Step 6: Final answer
    x = 12,400.06

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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.