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Finding the Fourth Proportional to 22,429.60, 33,595.76 and 16,260

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Solution

The fourth proportional to 22,429.60, 33,595.76 and 16,260 is: 24,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429.60 : 33,595.76 = 16,260 : x
  2. Step 2: Convert to fraction form
    22,429.60/33,595.76 = 16,260/x
  3. Step 3: Cross multiply
    22,429.60x = 33,595.76 × 16,260
  4. Step 4: Simplify right side
    22,429.60x = 546,267,057.60
  5. Step 5: Solve for x
    x = 546,267,057.60/22,429.60
  6. Step 6: Final answer
    x = 24,354.74

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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.