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Finding the Fourth Proportional to 14,909.51, 22,364.18 and 3,816.20

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Solution

The fourth proportional to 14,909.51, 22,364.18 and 3,816.20 is: 5,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.51 : 22,364.18 = 3,816.20 : x
  2. Step 2: Convert to fraction form
    14,909.51/22,364.18 = 3,816.20/x
  3. Step 3: Cross multiply
    14,909.51x = 22,364.18 × 3,816.20
  4. Step 4: Simplify right side
    14,909.51x = 85,346,052.81
  5. Step 5: Solve for x
    x = 85,346,052.81/14,909.51
  6. Step 6: Final answer
    x = 5,724.27

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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.