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Finding the Fourth Proportional to 16,457.68, 24,670.32 and 7,099.84

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Solution

The fourth proportional to 16,457.68, 24,670.32 and 7,099.84 is: 10,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.68 : 24,670.32 = 7,099.84 : x
  2. Step 2: Convert to fraction form
    16,457.68/24,670.32 = 7,099.84/x
  3. Step 3: Cross multiply
    16,457.68x = 24,670.32 × 7,099.84
  4. Step 4: Simplify right side
    16,457.68x = 175,155,324.75
  5. Step 5: Solve for x
    x = 175,155,324.75/16,457.68
  6. Step 6: Final answer
    x = 10,642.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.