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Finding the Fourth Proportional to 14,537.88, 21,806.82 and 4,678.02

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Solution

The fourth proportional to 14,537.88, 21,806.82 and 4,678.02 is: 7,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.88 : 21,806.82 = 4,678.02 : x
  2. Step 2: Convert to fraction form
    14,537.88/21,806.82 = 4,678.02/x
  3. Step 3: Cross multiply
    14,537.88x = 21,806.82 × 4,678.02
  4. Step 4: Simplify right side
    14,537.88x = 102,012,740.10
  5. Step 5: Solve for x
    x = 102,012,740.10/14,537.88
  6. Step 6: Final answer
    x = 7,017.03

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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.