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Finding the Fourth Proportional to 10,705.04, 16,021.56 and 10,296.08

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Solution

The fourth proportional to 10,705.04, 16,021.56 and 10,296.08 is: 15,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.04 : 16,021.56 = 10,296.08 : x
  2. Step 2: Convert to fraction form
    10,705.04/16,021.56 = 10,296.08/x
  3. Step 3: Cross multiply
    10,705.04x = 16,021.56 × 10,296.08
  4. Step 4: Simplify right side
    10,705.04x = 164,959,263.48
  5. Step 5: Solve for x
    x = 164,959,263.48/10,705.04
  6. Step 6: Final answer
    x = 15,409.50

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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.