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Finding the Fourth Proportional to 14,871.71, 22,300.50 and 8,633.64

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Solution

The fourth proportional to 14,871.71, 22,300.50 and 8,633.64 is: 12,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.71 : 22,300.50 = 8,633.64 : x
  2. Step 2: Convert to fraction form
    14,871.71/22,300.50 = 8,633.64/x
  3. Step 3: Cross multiply
    14,871.71x = 22,300.50 × 8,633.64
  4. Step 4: Simplify right side
    14,871.71x = 192,534,488.82
  5. Step 5: Solve for x
    x = 192,534,488.82/14,871.71
  6. Step 6: Final answer
    x = 12,946.36

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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.