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Finding the Fourth Proportional to 14,465.42, 21,710.72 and 8,237.96

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Solution

The fourth proportional to 14,465.42, 21,710.72 and 8,237.96 is: 12,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.42 : 21,710.72 = 8,237.96 : x
  2. Step 2: Convert to fraction form
    14,465.42/21,710.72 = 8,237.96/x
  3. Step 3: Cross multiply
    14,465.42x = 21,710.72 × 8,237.96
  4. Step 4: Simplify right side
    14,465.42x = 178,852,042.93
  5. Step 5: Solve for x
    x = 178,852,042.93/14,465.42
  6. Step 6: Final answer
    x = 12,364.11

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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.