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Finding the Fourth Proportional to 20,565.30, 30,856.19 and 8,088.47

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Solution

The fourth proportional to 20,565.30, 30,856.19 and 8,088.47 is: 12,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.30 : 30,856.19 = 8,088.47 : x
  2. Step 2: Convert to fraction form
    20,565.30/30,856.19 = 8,088.47/x
  3. Step 3: Cross multiply
    20,565.30x = 30,856.19 × 8,088.47
  4. Step 4: Simplify right side
    20,565.30x = 249,579,172.41
  5. Step 5: Solve for x
    x = 249,579,172.41/20,565.30
  6. Step 6: Final answer
    x = 12,135.94

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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.