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Finding the Fourth Proportional to 14,537.74, 21,804.54 and 4,677.88

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Solution

The fourth proportional to 14,537.74, 21,804.54 and 4,677.88 is: 7,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.74 : 21,804.54 = 4,677.88 : x
  2. Step 2: Convert to fraction form
    14,537.74/21,804.54 = 4,677.88/x
  3. Step 3: Cross multiply
    14,537.74x = 21,804.54 × 4,677.88
  4. Step 4: Simplify right side
    14,537.74x = 101,999,021.58
  5. Step 5: Solve for x
    x = 101,999,021.58/14,537.74
  6. Step 6: Final answer
    x = 7,016.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.