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Finding the Fourth Proportional to 15,913.65, 23,859.12 and 7,475.45

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Solution

The fourth proportional to 15,913.65, 23,859.12 and 7,475.45 is: 11,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.65 : 23,859.12 = 7,475.45 : x
  2. Step 2: Convert to fraction form
    15,913.65/23,859.12 = 7,475.45/x
  3. Step 3: Cross multiply
    15,913.65x = 23,859.12 × 7,475.45
  4. Step 4: Simplify right side
    15,913.65x = 178,357,658.60
  5. Step 5: Solve for x
    x = 178,357,658.60/15,913.65
  6. Step 6: Final answer
    x = 11,207.84

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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.