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Finding the Fourth Proportional to 14,551.68, 21,828.93 and 5,784.63

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Solution

The fourth proportional to 14,551.68, 21,828.93 and 5,784.63 is: 8,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.68 : 21,828.93 = 5,784.63 : x
  2. Step 2: Convert to fraction form
    14,551.68/21,828.93 = 5,784.63/x
  3. Step 3: Cross multiply
    14,551.68x = 21,828.93 × 5,784.63
  4. Step 4: Simplify right side
    14,551.68x = 126,272,283.35
  5. Step 5: Solve for x
    x = 126,272,283.35/14,551.68
  6. Step 6: Final answer
    x = 8,677.51

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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.