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Finding the Fourth Proportional to 19,486.68, 26,888.20 and 11,526

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Solution

The fourth proportional to 19,486.68, 26,888.20 and 11,526 is: 15,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,486.68 : 26,888.20 = 11,526 : x
  2. Step 2: Convert to fraction form
    19,486.68/26,888.20 = 11,526/x
  3. Step 3: Cross multiply
    19,486.68x = 26,888.20 × 11,526
  4. Step 4: Simplify right side
    19,486.68x = 309,913,393.20
  5. Step 5: Solve for x
    x = 309,913,393.20/19,486.68
  6. Step 6: Final answer
    x = 15,903.86

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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.