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Finding the Fourth Proportional to 15,574.58, 23,358.42 and 4,478.80

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Solution

The fourth proportional to 15,574.58, 23,358.42 and 4,478.80 is: 6,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574.58 : 23,358.42 = 4,478.80 : x
  2. Step 2: Convert to fraction form
    15,574.58/23,358.42 = 4,478.80/x
  3. Step 3: Cross multiply
    15,574.58x = 23,358.42 × 4,478.80
  4. Step 4: Simplify right side
    15,574.58x = 104,617,691.50
  5. Step 5: Solve for x
    x = 104,617,691.50/15,574.58
  6. Step 6: Final answer
    x = 6,717.21

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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.