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Finding the Fourth Proportional to 14,427.48, 19,905.86 and 9,654.44

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Solution

The fourth proportional to 14,427.48, 19,905.86 and 9,654.44 is: 13,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,427.48 : 19,905.86 = 9,654.44 : x
  2. Step 2: Convert to fraction form
    14,427.48/19,905.86 = 9,654.44/x
  3. Step 3: Cross multiply
    14,427.48x = 19,905.86 × 9,654.44
  4. Step 4: Simplify right side
    14,427.48x = 192,179,931.02
  5. Step 5: Solve for x
    x = 192,179,931.02/14,427.48
  6. Step 6: Final answer
    x = 13,320.41

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1.5x scale

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.