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Finding the Fourth Proportional to 27,484, 37,927.92 and 15,547.08

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Solution

The fourth proportional to 27,484, 37,927.92 and 15,547.08 is: 21,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,484 : 37,927.92 = 15,547.08 : x
  2. Step 2: Convert to fraction form
    27,484/37,927.92 = 15,547.08/x
  3. Step 3: Cross multiply
    27,484x = 37,927.92 × 15,547.08
  4. Step 4: Simplify right side
    27,484x = 589,668,406.47
  5. Step 5: Solve for x
    x = 589,668,406.47/27,484
  6. Step 6: Final answer
    x = 21,454.97

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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.