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Finding the Fourth Proportional to 14,532.99, 20,056.19 and 8,564.91

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Solution

The fourth proportional to 14,532.99, 20,056.19 and 8,564.91 is: 11,819.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.99 : 20,056.19 = 8,564.91 : x
  2. Step 2: Convert to fraction form
    14,532.99/20,056.19 = 8,564.91/x
  3. Step 3: Cross multiply
    14,532.99x = 20,056.19 × 8,564.91
  4. Step 4: Simplify right side
    14,532.99x = 171,779,462.29
  5. Step 5: Solve for x
    x = 171,779,462.29/14,532.99
  6. Step 6: Final answer
    x = 11,819.97

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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.