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Finding the Fourth Proportional to 27,547.28, 38,013.64 and 14,971.92

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Solution

The fourth proportional to 27,547.28, 38,013.64 and 14,971.92 is: 20,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.28 : 38,013.64 = 14,971.92 : x
  2. Step 2: Convert to fraction form
    27,547.28/38,013.64 = 14,971.92/x
  3. Step 3: Cross multiply
    27,547.28x = 38,013.64 × 14,971.92
  4. Step 4: Simplify right side
    27,547.28x = 569,137,176.99
  5. Step 5: Solve for x
    x = 569,137,176.99/27,547.28
  6. Step 6: Final answer
    x = 20,660.38

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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.