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Finding the Fourth Proportional to 15,323.40, 23,006.70 and 9,491.40

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Solution

The fourth proportional to 15,323.40, 23,006.70 and 9,491.40 is: 14,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,323.40 : 23,006.70 = 9,491.40 : x
  2. Step 2: Convert to fraction form
    15,323.40/23,006.70 = 9,491.40/x
  3. Step 3: Cross multiply
    15,323.40x = 23,006.70 × 9,491.40
  4. Step 4: Simplify right side
    15,323.40x = 218,365,792.38
  5. Step 5: Solve for x
    x = 218,365,792.38/15,323.40
  6. Step 6: Final answer
    x = 14,250.48

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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.