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Finding the Fourth Proportional to 15,101.10, 20,838.63 and 8,386.34

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Solution

The fourth proportional to 15,101.10, 20,838.63 and 8,386.34 is: 11,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.10 : 20,838.63 = 8,386.34 : x
  2. Step 2: Convert to fraction form
    15,101.10/20,838.63 = 8,386.34/x
  3. Step 3: Cross multiply
    15,101.10x = 20,838.63 × 8,386.34
  4. Step 4: Simplify right side
    15,101.10x = 174,759,763.57
  5. Step 5: Solve for x
    x = 174,759,763.57/15,101.10
  6. Step 6: Final answer
    x = 11,572.65

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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.