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Finding the Fourth Proportional to 14,117.33, 21,176 and 7,523.53

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Solution

The fourth proportional to 14,117.33, 21,176 and 7,523.53 is: 11,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.33 : 21,176 = 7,523.53 : x
  2. Step 2: Convert to fraction form
    14,117.33/21,176 = 7,523.53/x
  3. Step 3: Cross multiply
    14,117.33x = 21,176 × 7,523.53
  4. Step 4: Simplify right side
    14,117.33x = 159,318,271.28
  5. Step 5: Solve for x
    x = 159,318,271.28/14,117.33
  6. Step 6: Final answer
    x = 11,285.30

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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.