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Finding the Fourth Proportional to 23,285.25, 34,931.16 and 7,484.99

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Solution

The fourth proportional to 23,285.25, 34,931.16 and 7,484.99 is: 11,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,285.25 : 34,931.16 = 7,484.99 : x
  2. Step 2: Convert to fraction form
    23,285.25/34,931.16 = 7,484.99/x
  3. Step 3: Cross multiply
    23,285.25x = 34,931.16 × 7,484.99
  4. Step 4: Simplify right side
    23,285.25x = 261,459,208.63
  5. Step 5: Solve for x
    x = 261,459,208.63/23,285.25
  6. Step 6: Final answer
    x = 11,228.53

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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.