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Finding the Fourth Proportional to 16,322.50, 24,484.02 and 7,088.50

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Solution

The fourth proportional to 16,322.50, 24,484.02 and 7,088.50 is: 10,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,322.50 : 24,484.02 = 7,088.50 : x
  2. Step 2: Convert to fraction form
    16,322.50/24,484.02 = 7,088.50/x
  3. Step 3: Cross multiply
    16,322.50x = 24,484.02 × 7,088.50
  4. Step 4: Simplify right side
    16,322.50x = 173,554,975.77
  5. Step 5: Solve for x
    x = 173,554,975.77/16,322.50
  6. Step 6: Final answer
    x = 10,632.87

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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.