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Finding the Fourth Proportional to 13,585.60, 20,384.43 and 8,653.96

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Solution

The fourth proportional to 13,585.60, 20,384.43 and 8,653.96 is: 12,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.60 : 20,384.43 = 8,653.96 : x
  2. Step 2: Convert to fraction form
    13,585.60/20,384.43 = 8,653.96/x
  3. Step 3: Cross multiply
    13,585.60x = 20,384.43 × 8,653.96
  4. Step 4: Simplify right side
    13,585.60x = 176,406,041.84
  5. Step 5: Solve for x
    x = 176,406,041.84/13,585.60
  6. Step 6: Final answer
    x = 12,984.78

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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.