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Finding the Fourth Proportional to 26,707.10, 40,042.19 and 11,707.02

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Solution

The fourth proportional to 26,707.10, 40,042.19 and 11,707.02 is: 17,552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,707.10 : 40,042.19 = 11,707.02 : x
  2. Step 2: Convert to fraction form
    26,707.10/40,042.19 = 11,707.02/x
  3. Step 3: Cross multiply
    26,707.10x = 40,042.19 × 11,707.02
  4. Step 4: Simplify right side
    26,707.10x = 468,774,719.17
  5. Step 5: Solve for x
    x = 468,774,719.17/26,707.10
  6. Step 6: Final answer
    x = 17,552.44

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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.