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Finding the Fourth Proportional to 16,121, 24,071.16 and 14,444.28

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Solution

The fourth proportional to 16,121, 24,071.16 and 14,444.28 is: 21,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,121 : 24,071.16 = 14,444.28 : x
  2. Step 2: Convert to fraction form
    16,121/24,071.16 = 14,444.28/x
  3. Step 3: Cross multiply
    16,121x = 24,071.16 × 14,444.28
  4. Step 4: Simplify right side
    16,121x = 347,690,574.96
  5. Step 5: Solve for x
    x = 347,690,574.96/16,121
  6. Step 6: Final answer
    x = 21,567.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.