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Finding the Fourth Proportional to 14,557.16, 21,835.53 and 8,303.82

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Solution

The fourth proportional to 14,557.16, 21,835.53 and 8,303.82 is: 12,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.16 : 21,835.53 = 8,303.82 : x
  2. Step 2: Convert to fraction form
    14,557.16/21,835.53 = 8,303.82/x
  3. Step 3: Cross multiply
    14,557.16x = 21,835.53 × 8,303.82
  4. Step 4: Simplify right side
    14,557.16x = 181,318,310.72
  5. Step 5: Solve for x
    x = 181,318,310.72/14,557.16
  6. Step 6: Final answer
    x = 12,455.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.