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Finding the Fourth Proportional to 14,762.84, 22,148.31 and 7,358.36

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Solution

The fourth proportional to 14,762.84, 22,148.31 and 7,358.36 is: 11,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.84 : 22,148.31 = 7,358.36 : x
  2. Step 2: Convert to fraction form
    14,762.84/22,148.31 = 7,358.36/x
  3. Step 3: Cross multiply
    14,762.84x = 22,148.31 × 7,358.36
  4. Step 4: Simplify right side
    14,762.84x = 162,975,238.37
  5. Step 5: Solve for x
    x = 162,975,238.37/14,762.84
  6. Step 6: Final answer
    x = 11,039.56

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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.