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Finding the Fourth Proportional to 14,699.84, 22,051.31 and 4,839.12

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Solution

The fourth proportional to 14,699.84, 22,051.31 and 4,839.12 is: 7,259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.84 : 22,051.31 = 4,839.12 : x
  2. Step 2: Convert to fraction form
    14,699.84/22,051.31 = 4,839.12/x
  3. Step 3: Cross multiply
    14,699.84x = 22,051.31 × 4,839.12
  4. Step 4: Simplify right side
    14,699.84x = 106,708,911.05
  5. Step 5: Solve for x
    x = 106,708,911.05/14,699.84
  6. Step 6: Final answer
    x = 7,259.19

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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.