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Finding the Fourth Proportional to 25,092, 37,564 and 18,547.36

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Solution

The fourth proportional to 25,092, 37,564 and 18,547.36 is: 27,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092 : 37,564 = 18,547.36 : x
  2. Step 2: Convert to fraction form
    25,092/37,564 = 18,547.36/x
  3. Step 3: Cross multiply
    25,092x = 37,564 × 18,547.36
  4. Step 4: Simplify right side
    25,092x = 696,713,031.04
  5. Step 5: Solve for x
    x = 696,713,031.04/25,092
  6. Step 6: Final answer
    x = 27,766.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.