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Finding the Fourth Proportional to 16,516.23, 24,712.26 and 9,828.11

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Solution

The fourth proportional to 16,516.23, 24,712.26 and 9,828.11 is: 14,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.23 : 24,712.26 = 9,828.11 : x
  2. Step 2: Convert to fraction form
    16,516.23/24,712.26 = 9,828.11/x
  3. Step 3: Cross multiply
    16,516.23x = 24,712.26 × 9,828.11
  4. Step 4: Simplify right side
    16,516.23x = 242,874,686.07
  5. Step 5: Solve for x
    x = 242,874,686.07/16,516.23
  6. Step 6: Final answer
    x = 14,705.21

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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.