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Finding the Fourth Proportional to 14,472, 21,707.98 and 9,505.72

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Solution

The fourth proportional to 14,472, 21,707.98 and 9,505.72 is: 14,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472 : 21,707.98 = 9,505.72 : x
  2. Step 2: Convert to fraction form
    14,472/21,707.98 = 9,505.72/x
  3. Step 3: Cross multiply
    14,472x = 21,707.98 × 9,505.72
  4. Step 4: Simplify right side
    14,472x = 206,349,979.65
  5. Step 5: Solve for x
    x = 206,349,979.65/14,472
  6. Step 6: Final answer
    x = 14,258.57

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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.