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Finding the Fourth Proportional to 14,562.84, 21,841.47 and 4,699.74

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Solution

The fourth proportional to 14,562.84, 21,841.47 and 4,699.74 is: 7,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.84 : 21,841.47 = 4,699.74 : x
  2. Step 2: Convert to fraction form
    14,562.84/21,841.47 = 4,699.74/x
  3. Step 3: Cross multiply
    14,562.84x = 21,841.47 × 4,699.74
  4. Step 4: Simplify right side
    14,562.84x = 102,649,230.22
  5. Step 5: Solve for x
    x = 102,649,230.22/14,562.84
  6. Step 6: Final answer
    x = 7,048.71

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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.