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Finding the Fourth Proportional to 14,903.34, 20,564.33 and 8,614.50

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Solution

The fourth proportional to 14,903.34, 20,564.33 and 8,614.50 is: 11,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.34 : 20,564.33 = 8,614.50 : x
  2. Step 2: Convert to fraction form
    14,903.34/20,564.33 = 8,614.50/x
  3. Step 3: Cross multiply
    14,903.34x = 20,564.33 × 8,614.50
  4. Step 4: Simplify right side
    14,903.34x = 177,151,377.71
  5. Step 5: Solve for x
    x = 177,151,377.71/14,903.34
  6. Step 6: Final answer
    x = 11,886.69

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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.