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Finding the Fourth Proportional to 14,607.42, 21,904.11 and 7,580.34

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Solution

The fourth proportional to 14,607.42, 21,904.11 and 7,580.34 is: 11,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,607.42 : 21,904.11 = 7,580.34 : x
  2. Step 2: Convert to fraction form
    14,607.42/21,904.11 = 7,580.34/x
  3. Step 3: Cross multiply
    14,607.42x = 21,904.11 × 7,580.34
  4. Step 4: Simplify right side
    14,607.42x = 166,040,601.20
  5. Step 5: Solve for x
    x = 166,040,601.20/14,607.42
  6. Step 6: Final answer
    x = 11,366.87

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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.