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Finding the Fourth Proportional to 15,730.30, 23,584.02 and 7,405.70

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Solution

The fourth proportional to 15,730.30, 23,584.02 and 7,405.70 is: 11,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.30 : 23,584.02 = 7,405.70 : x
  2. Step 2: Convert to fraction form
    15,730.30/23,584.02 = 7,405.70/x
  3. Step 3: Cross multiply
    15,730.30x = 23,584.02 × 7,405.70
  4. Step 4: Simplify right side
    15,730.30x = 174,656,176.91
  5. Step 5: Solve for x
    x = 174,656,176.91/15,730.30
  6. Step 6: Final answer
    x = 11,103.17

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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.