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Finding the Fourth Proportional to 14,869.60, 22,297.20 and 8,288.80

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Solution

The fourth proportional to 14,869.60, 22,297.20 and 8,288.80 is: 12,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,869.60 : 22,297.20 = 8,288.80 : x
  2. Step 2: Convert to fraction form
    14,869.60/22,297.20 = 8,288.80/x
  3. Step 3: Cross multiply
    14,869.60x = 22,297.20 × 8,288.80
  4. Step 4: Simplify right side
    14,869.60x = 184,817,031.36
  5. Step 5: Solve for x
    x = 184,817,031.36/14,869.60
  6. Step 6: Final answer
    x = 12,429.19

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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.