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Finding the Fourth Proportional to 17,730.48, 24,478.56 and 15,762.36

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Solution

The fourth proportional to 17,730.48, 24,478.56 and 15,762.36 is: 21,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.48 : 24,478.56 = 15,762.36 : x
  2. Step 2: Convert to fraction form
    17,730.48/24,478.56 = 15,762.36/x
  3. Step 3: Cross multiply
    17,730.48x = 24,478.56 × 15,762.36
  4. Step 4: Simplify right side
    17,730.48x = 385,839,875.00
  5. Step 5: Solve for x
    x = 385,839,875.00/17,730.48
  6. Step 6: Final answer
    x = 21,761.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.