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Finding the Fourth Proportional to 14,152.25, 19,528.98 and 8,184.31

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Solution

The fourth proportional to 14,152.25, 19,528.98 and 8,184.31 is: 11,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.25 : 19,528.98 = 8,184.31 : x
  2. Step 2: Convert to fraction form
    14,152.25/19,528.98 = 8,184.31/x
  3. Step 3: Cross multiply
    14,152.25x = 19,528.98 × 8,184.31
  4. Step 4: Simplify right side
    14,152.25x = 159,831,226.30
  5. Step 5: Solve for x
    x = 159,831,226.30/14,152.25
  6. Step 6: Final answer
    x = 11,293.70

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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.