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Finding the Fourth Proportional to 14,164.59, 19,543.64 and 8,856.75

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Solution

The fourth proportional to 14,164.59, 19,543.64 and 8,856.75 is: 12,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.59 : 19,543.64 = 8,856.75 : x
  2. Step 2: Convert to fraction form
    14,164.59/19,543.64 = 8,856.75/x
  3. Step 3: Cross multiply
    14,164.59x = 19,543.64 × 8,856.75
  4. Step 4: Simplify right side
    14,164.59x = 173,093,089.29
  5. Step 5: Solve for x
    x = 173,093,089.29/14,164.59
  6. Step 6: Final answer
    x = 12,220.13

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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.