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Finding the Fourth Proportional to 16,165.80, 24,248.70 and 14,416.20

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Solution

The fourth proportional to 16,165.80, 24,248.70 and 14,416.20 is: 21,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.80 : 24,248.70 = 14,416.20 : x
  2. Step 2: Convert to fraction form
    16,165.80/24,248.70 = 14,416.20/x
  3. Step 3: Cross multiply
    16,165.80x = 24,248.70 × 14,416.20
  4. Step 4: Simplify right side
    16,165.80x = 349,574,108.94
  5. Step 5: Solve for x
    x = 349,574,108.94/16,165.80
  6. Step 6: Final answer
    x = 21,624.30

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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.