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Finding the Fourth Proportional to 16,775.86, 25,152.80 and 9,381.10

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Solution

The fourth proportional to 16,775.86, 25,152.80 and 9,381.10 is: 14,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,775.86 : 25,152.80 = 9,381.10 : x
  2. Step 2: Convert to fraction form
    16,775.86/25,152.80 = 9,381.10/x
  3. Step 3: Cross multiply
    16,775.86x = 25,152.80 × 9,381.10
  4. Step 4: Simplify right side
    16,775.86x = 235,960,932.08
  5. Step 5: Solve for x
    x = 235,960,932.08/16,775.86
  6. Step 6: Final answer
    x = 14,065.50

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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.