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Finding the Fourth Proportional to 14,407.84, 21,609.90 and 4,548.10

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Solution

The fourth proportional to 14,407.84, 21,609.90 and 4,548.10 is: 6,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.84 : 21,609.90 = 4,548.10 : x
  2. Step 2: Convert to fraction form
    14,407.84/21,609.90 = 4,548.10/x
  3. Step 3: Cross multiply
    14,407.84x = 21,609.90 × 4,548.10
  4. Step 4: Simplify right side
    14,407.84x = 98,283,986.19
  5. Step 5: Solve for x
    x = 98,283,986.19/14,407.84
  6. Step 6: Final answer
    x = 6,821.56

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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.