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Finding the Fourth Proportional to 14,477.84, 21,701.94 and 9,798.33

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Solution

The fourth proportional to 14,477.84, 21,701.94 and 9,798.33 is: 14,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.84 : 21,701.94 = 9,798.33 : x
  2. Step 2: Convert to fraction form
    14,477.84/21,701.94 = 9,798.33/x
  3. Step 3: Cross multiply
    14,477.84x = 21,701.94 × 9,798.33
  4. Step 4: Simplify right side
    14,477.84x = 212,642,769.76
  5. Step 5: Solve for x
    x = 212,642,769.76/14,477.84
  6. Step 6: Final answer
    x = 14,687.47

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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.