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Finding the Fourth Proportional to 19,848.64, 29,773.32 and 8,159.28

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Solution

The fourth proportional to 19,848.64, 29,773.32 and 8,159.28 is: 12,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,848.64 : 29,773.32 = 8,159.28 : x
  2. Step 2: Convert to fraction form
    19,848.64/29,773.32 = 8,159.28/x
  3. Step 3: Cross multiply
    19,848.64x = 29,773.32 × 8,159.28
  4. Step 4: Simplify right side
    19,848.64x = 242,928,854.41
  5. Step 5: Solve for x
    x = 242,928,854.41/19,848.64
  6. Step 6: Final answer
    x = 12,239.07

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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.