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Finding the Fourth Proportional to 27,547.68, 38,016.36 and 14,973.24

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Solution

The fourth proportional to 27,547.68, 38,016.36 and 14,973.24 is: 20,663.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.68 : 38,016.36 = 14,973.24 : x
  2. Step 2: Convert to fraction form
    27,547.68/38,016.36 = 14,973.24/x
  3. Step 3: Cross multiply
    27,547.68x = 38,016.36 × 14,973.24
  4. Step 4: Simplify right side
    27,547.68x = 569,228,082.21
  5. Step 5: Solve for x
    x = 569,228,082.21/27,547.68
  6. Step 6: Final answer
    x = 20,663.38

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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.