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Finding the Fourth Proportional to 25,362.32, 35,000 and 14,184.32

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Solution

The fourth proportional to 25,362.32, 35,000 and 14,184.32 is: 19,574.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,362.32 : 35,000 = 14,184.32 : x
  2. Step 2: Convert to fraction form
    25,362.32/35,000 = 14,184.32/x
  3. Step 3: Cross multiply
    25,362.32x = 35,000 × 14,184.32
  4. Step 4: Simplify right side
    25,362.32x = 496,451,200
  5. Step 5: Solve for x
    x = 496,451,200/25,362.32
  6. Step 6: Final answer
    x = 19,574.36

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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.