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Finding the Fourth Proportional to 16,888.50, 25,332.72 and 5,798.40

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Solution

The fourth proportional to 16,888.50, 25,332.72 and 5,798.40 is: 8,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,888.50 : 25,332.72 = 5,798.40 : x
  2. Step 2: Convert to fraction form
    16,888.50/25,332.72 = 5,798.40/x
  3. Step 3: Cross multiply
    16,888.50x = 25,332.72 × 5,798.40
  4. Step 4: Simplify right side
    16,888.50x = 146,889,243.65
  5. Step 5: Solve for x
    x = 146,889,243.65/16,888.50
  6. Step 6: Final answer
    x = 8,697.59

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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.