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Finding the Fourth Proportional to 14,567.63, 20,103.35 and 8,280

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Solution

The fourth proportional to 14,567.63, 20,103.35 and 8,280 is: 11,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.63 : 20,103.35 = 8,280 : x
  2. Step 2: Convert to fraction form
    14,567.63/20,103.35 = 8,280/x
  3. Step 3: Cross multiply
    14,567.63x = 20,103.35 × 8,280
  4. Step 4: Simplify right side
    14,567.63x = 166,455,696.60
  5. Step 5: Solve for x
    x = 166,455,696.60/14,567.63
  6. Step 6: Final answer
    x = 11,426.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.