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Finding the Fourth Proportional to 25,873.47, 38,802.11 and 17,154.63

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Solution

The fourth proportional to 25,873.47, 38,802.11 and 17,154.63 is: 25,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,873.47 : 38,802.11 = 17,154.63 : x
  2. Step 2: Convert to fraction form
    25,873.47/38,802.11 = 17,154.63/x
  3. Step 3: Cross multiply
    25,873.47x = 38,802.11 × 17,154.63
  4. Step 4: Simplify right side
    25,873.47x = 665,635,754.50
  5. Step 5: Solve for x
    x = 665,635,754.50/25,873.47
  6. Step 6: Final answer
    x = 25,726.57

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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.