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Finding the Fourth Proportional to 16,220.13, 24,315.56 and 5,829.45

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Solution

The fourth proportional to 16,220.13, 24,315.56 and 5,829.45 is: 8,738.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.13 : 24,315.56 = 5,829.45 : x
  2. Step 2: Convert to fraction form
    16,220.13/24,315.56 = 5,829.45/x
  3. Step 3: Cross multiply
    16,220.13x = 24,315.56 × 5,829.45
  4. Step 4: Simplify right side
    16,220.13x = 141,746,341.24
  5. Step 5: Solve for x
    x = 141,746,341.24/16,220.13
  6. Step 6: Final answer
    x = 8,738.92

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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.