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Finding the Fourth Proportional to 14,543.59, 21,782.58 and 6,736

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Solution

The fourth proportional to 14,543.59, 21,782.58 and 6,736 is: 10,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.59 : 21,782.58 = 6,736 : x
  2. Step 2: Convert to fraction form
    14,543.59/21,782.58 = 6,736/x
  3. Step 3: Cross multiply
    14,543.59x = 21,782.58 × 6,736
  4. Step 4: Simplify right side
    14,543.59x = 146,727,458.88
  5. Step 5: Solve for x
    x = 146,727,458.88/14,543.59
  6. Step 6: Final answer
    x = 10,088.81

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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.