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Finding the Fourth Proportional to 19,205.54, 26,502.54 and 10,707.38

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Solution

The fourth proportional to 19,205.54, 26,502.54 and 10,707.38 is: 14,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.54 : 26,502.54 = 10,707.38 : x
  2. Step 2: Convert to fraction form
    19,205.54/26,502.54 = 10,707.38/x
  3. Step 3: Cross multiply
    19,205.54x = 26,502.54 × 10,707.38
  4. Step 4: Simplify right side
    19,205.54x = 283,772,766.75
  5. Step 5: Solve for x
    x = 283,772,766.75/19,205.54
  6. Step 6: Final answer
    x = 14,775.57

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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.