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Finding the Fourth Proportional to 14,271.30, 21,415.05 and 5,506.74

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Solution

The fourth proportional to 14,271.30, 21,415.05 and 5,506.74 is: 8,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.30 : 21,415.05 = 5,506.74 : x
  2. Step 2: Convert to fraction form
    14,271.30/21,415.05 = 5,506.74/x
  3. Step 3: Cross multiply
    14,271.30x = 21,415.05 × 5,506.74
  4. Step 4: Simplify right side
    14,271.30x = 117,927,112.44
  5. Step 5: Solve for x
    x = 117,927,112.44/14,271.30
  6. Step 6: Final answer
    x = 8,263.24

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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.