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Finding the Fourth Proportional to 19,554.76, 29,337.56 and 9,028

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Solution

The fourth proportional to 19,554.76, 29,337.56 and 9,028 is: 13,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,554.76 : 29,337.56 = 9,028 : x
  2. Step 2: Convert to fraction form
    19,554.76/29,337.56 = 9,028/x
  3. Step 3: Cross multiply
    19,554.76x = 29,337.56 × 9,028
  4. Step 4: Simplify right side
    19,554.76x = 264,859,491.68
  5. Step 5: Solve for x
    x = 264,859,491.68/19,554.76
  6. Step 6: Final answer
    x = 13,544.50

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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.