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Finding the Fourth Proportional to 16,005.60, 24,008.40 and 8,978.40

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Solution

The fourth proportional to 16,005.60, 24,008.40 and 8,978.40 is: 13,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.60 : 24,008.40 = 8,978.40 : x
  2. Step 2: Convert to fraction form
    16,005.60/24,008.40 = 8,978.40/x
  3. Step 3: Cross multiply
    16,005.60x = 24,008.40 × 8,978.40
  4. Step 4: Simplify right side
    16,005.60x = 215,557,018.56
  5. Step 5: Solve for x
    x = 215,557,018.56/16,005.60
  6. Step 6: Final answer
    x = 13,467.60

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1.5x scale

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.