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Finding the Fourth Proportional to 14,109.60, 21,169.80 and 6,312.81

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Solution

The fourth proportional to 14,109.60, 21,169.80 and 6,312.81 is: 9,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.60 : 21,169.80 = 6,312.81 : x
  2. Step 2: Convert to fraction form
    14,109.60/21,169.80 = 6,312.81/x
  3. Step 3: Cross multiply
    14,109.60x = 21,169.80 × 6,312.81
  4. Step 4: Simplify right side
    14,109.60x = 133,640,925.14
  5. Step 5: Solve for x
    x = 133,640,925.14/14,109.60
  6. Step 6: Final answer
    x = 9,471.63

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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.