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Finding the Fourth Proportional to 21,498.64, 29,666.49 and 12,065.38

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Solution

The fourth proportional to 21,498.64, 29,666.49 and 12,065.38 is: 16,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498.64 : 29,666.49 = 12,065.38 : x
  2. Step 2: Convert to fraction form
    21,498.64/29,666.49 = 12,065.38/x
  3. Step 3: Cross multiply
    21,498.64x = 29,666.49 × 12,065.38
  4. Step 4: Simplify right side
    21,498.64x = 357,937,475.12
  5. Step 5: Solve for x
    x = 357,937,475.12/21,498.64
  6. Step 6: Final answer
    x = 16,649.31

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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.