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Finding the Fourth Proportional to 16,397.10, 24,620.40 and 13,100.40

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Solution

The fourth proportional to 16,397.10, 24,620.40 and 13,100.40 is: 19,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.10 : 24,620.40 = 13,100.40 : x
  2. Step 2: Convert to fraction form
    16,397.10/24,620.40 = 13,100.40/x
  3. Step 3: Cross multiply
    16,397.10x = 24,620.40 × 13,100.40
  4. Step 4: Simplify right side
    16,397.10x = 322,537,088.16
  5. Step 5: Solve for x
    x = 322,537,088.16/16,397.10
  6. Step 6: Final answer
    x = 19,670.37

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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.