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Finding the Fourth Proportional to 25,480, 35,158.35 and 16,539.76

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Solution

The fourth proportional to 25,480, 35,158.35 and 16,539.76 is: 22,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,480 : 35,158.35 = 16,539.76 : x
  2. Step 2: Convert to fraction form
    25,480/35,158.35 = 16,539.76/x
  3. Step 3: Cross multiply
    25,480x = 35,158.35 × 16,539.76
  4. Step 4: Simplify right side
    25,480x = 581,510,671.00
  5. Step 5: Solve for x
    x = 581,510,671.00/25,480
  6. Step 6: Final answer
    x = 22,822.24

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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.