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Finding the Fourth Proportional to 25,877.84, 35,686.05 and 16,430

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Solution

The fourth proportional to 25,877.84, 35,686.05 and 16,430 is: 22,657.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,877.84 : 35,686.05 = 16,430 : x
  2. Step 2: Convert to fraction form
    25,877.84/35,686.05 = 16,430/x
  3. Step 3: Cross multiply
    25,877.84x = 35,686.05 × 16,430
  4. Step 4: Simplify right side
    25,877.84x = 586,321,801.50
  5. Step 5: Solve for x
    x = 586,321,801.50/25,877.84
  6. Step 6: Final answer
    x = 22,657.29

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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.