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Finding the Fourth Proportional to 27,547.70, 38,015.07 and 15,612.14

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Solution

The fourth proportional to 27,547.70, 38,015.07 and 15,612.14 is: 21,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.70 : 38,015.07 = 15,612.14 : x
  2. Step 2: Convert to fraction form
    27,547.70/38,015.07 = 15,612.14/x
  3. Step 3: Cross multiply
    27,547.70x = 38,015.07 × 15,612.14
  4. Step 4: Simplify right side
    27,547.70x = 593,496,719.26
  5. Step 5: Solve for x
    x = 593,496,719.26/27,547.70
  6. Step 6: Final answer
    x = 21,544.33

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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.