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Finding the Fourth Proportional to 25,781, 35,582.82 and 14,603

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Solution

The fourth proportional to 25,781, 35,582.82 and 14,603 is: 20,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,781 : 35,582.82 = 14,603 : x
  2. Step 2: Convert to fraction form
    25,781/35,582.82 = 14,603/x
  3. Step 3: Cross multiply
    25,781x = 35,582.82 × 14,603
  4. Step 4: Simplify right side
    25,781x = 519,615,920.46
  5. Step 5: Solve for x
    x = 519,615,920.46/25,781
  6. Step 6: Final answer
    x = 20,154.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.