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Finding the Fourth Proportional to 13,490.32, 20,235.54 and 4,256.32

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Solution

The fourth proportional to 13,490.32, 20,235.54 and 4,256.32 is: 6,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.32 : 20,235.54 = 4,256.32 : x
  2. Step 2: Convert to fraction form
    13,490.32/20,235.54 = 4,256.32/x
  3. Step 3: Cross multiply
    13,490.32x = 20,235.54 × 4,256.32
  4. Step 4: Simplify right side
    13,490.32x = 86,128,933.61
  5. Step 5: Solve for x
    x = 86,128,933.61/13,490.32
  6. Step 6: Final answer
    x = 6,384.50

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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.