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Finding the Fourth Proportional to 21,442.68, 29,590.86 and 12,011.16

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Solution

The fourth proportional to 21,442.68, 29,590.86 and 12,011.16 is: 16,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,442.68 : 29,590.86 = 12,011.16 : x
  2. Step 2: Convert to fraction form
    21,442.68/29,590.86 = 12,011.16/x
  3. Step 3: Cross multiply
    21,442.68x = 29,590.86 × 12,011.16
  4. Step 4: Simplify right side
    21,442.68x = 355,420,554.00
  5. Step 5: Solve for x
    x = 355,420,554.00/21,442.68
  6. Step 6: Final answer
    x = 16,575.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.