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Finding the Fourth Proportional to 14,628.90, 21,932.55 and 6,302.10

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Solution

The fourth proportional to 14,628.90, 21,932.55 and 6,302.10 is: 9,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,628.90 : 21,932.55 = 6,302.10 : x
  2. Step 2: Convert to fraction form
    14,628.90/21,932.55 = 6,302.10/x
  3. Step 3: Cross multiply
    14,628.90x = 21,932.55 × 6,302.10
  4. Step 4: Simplify right side
    14,628.90x = 138,221,123.36
  5. Step 5: Solve for x
    x = 138,221,123.36/14,628.90
  6. Step 6: Final answer
    x = 9,448.50

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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.