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Finding the Fourth Proportional to 14,576.40, 21,866.76 and 4,713.84

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Solution

The fourth proportional to 14,576.40, 21,866.76 and 4,713.84 is: 7,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.40 : 21,866.76 = 4,713.84 : x
  2. Step 2: Convert to fraction form
    14,576.40/21,866.76 = 4,713.84/x
  3. Step 3: Cross multiply
    14,576.40x = 21,866.76 × 4,713.84
  4. Step 4: Simplify right side
    14,576.40x = 103,076,407.96
  5. Step 5: Solve for x
    x = 103,076,407.96/14,576.40
  6. Step 6: Final answer
    x = 7,071.46

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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.