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Finding the Fourth Proportional to 14,463.76, 21,709.00 and 8,927.91

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Solution

The fourth proportional to 14,463.76, 21,709.00 and 8,927.91 is: 13,400.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.76 : 21,709.00 = 8,927.91 : x
  2. Step 2: Convert to fraction form
    14,463.76/21,709.00 = 8,927.91/x
  3. Step 3: Cross multiply
    14,463.76x = 21,709.00 × 8,927.91
  4. Step 4: Simplify right side
    14,463.76x = 193,815,953.55
  5. Step 5: Solve for x
    x = 193,815,953.55/14,463.76
  6. Step 6: Final answer
    x = 13,400.11

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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.