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Finding the Fourth Proportional to 15,448.80, 23,176.40 and 6,214.80

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Solution

The fourth proportional to 15,448.80, 23,176.40 and 6,214.80 is: 9,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,448.80 : 23,176.40 = 6,214.80 : x
  2. Step 2: Convert to fraction form
    15,448.80/23,176.40 = 6,214.80/x
  3. Step 3: Cross multiply
    15,448.80x = 23,176.40 × 6,214.80
  4. Step 4: Simplify right side
    15,448.80x = 144,036,690.72
  5. Step 5: Solve for x
    x = 144,036,690.72/15,448.80
  6. Step 6: Final answer
    x = 9,323.49

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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.