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Finding the Fourth Proportional to 14,657.96, 20,228.54 and 8,689.28

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Solution

The fourth proportional to 14,657.96, 20,228.54 and 8,689.28 is: 11,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.96 : 20,228.54 = 8,689.28 : x
  2. Step 2: Convert to fraction form
    14,657.96/20,228.54 = 8,689.28/x
  3. Step 3: Cross multiply
    14,657.96x = 20,228.54 × 8,689.28
  4. Step 4: Simplify right side
    14,657.96x = 175,771,303.46
  5. Step 5: Solve for x
    x = 175,771,303.46/14,657.96
  6. Step 6: Final answer
    x = 11,991.52

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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.