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Finding the Fourth Proportional to 21,387.83, 29,514.02 and 11,827.16

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Solution

The fourth proportional to 21,387.83, 29,514.02 and 11,827.16 is: 16,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,387.83 : 29,514.02 = 11,827.16 : x
  2. Step 2: Convert to fraction form
    21,387.83/29,514.02 = 11,827.16/x
  3. Step 3: Cross multiply
    21,387.83x = 29,514.02 × 11,827.16
  4. Step 4: Simplify right side
    21,387.83x = 349,066,830.08
  5. Step 5: Solve for x
    x = 349,066,830.08/21,387.83
  6. Step 6: Final answer
    x = 16,320.82

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