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Finding the Fourth Proportional to 14,472, 21,708.92 and 4,084.56

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Solution

The fourth proportional to 14,472, 21,708.92 and 4,084.56 is: 6,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472 : 21,708.92 = 4,084.56 : x
  2. Step 2: Convert to fraction form
    14,472/21,708.92 = 4,084.56/x
  3. Step 3: Cross multiply
    14,472x = 21,708.92 × 4,084.56
  4. Step 4: Simplify right side
    14,472x = 88,671,386.28
  5. Step 5: Solve for x
    x = 88,671,386.28/14,472
  6. Step 6: Final answer
    x = 6,127.10

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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.