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Finding the Fourth Proportional to 14,420.63, 21,632.03 and 8,178.23

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Solution

The fourth proportional to 14,420.63, 21,632.03 and 8,178.23 is: 12,267.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.63 : 21,632.03 = 8,178.23 : x
  2. Step 2: Convert to fraction form
    14,420.63/21,632.03 = 8,178.23/x
  3. Step 3: Cross multiply
    14,420.63x = 21,632.03 × 8,178.23
  4. Step 4: Simplify right side
    14,420.63x = 176,911,567.66
  5. Step 5: Solve for x
    x = 176,911,567.66/14,420.63
  6. Step 6: Final answer
    x = 12,267.95

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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.