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Finding the Fourth Proportional to 21,071.38, 29,071.53 and 13,904.86

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Solution

The fourth proportional to 21,071.38, 29,071.53 and 13,904.86 is: 19,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.38 : 29,071.53 = 13,904.86 : x
  2. Step 2: Convert to fraction form
    21,071.38/29,071.53 = 13,904.86/x
  3. Step 3: Cross multiply
    21,071.38x = 29,071.53 × 13,904.86
  4. Step 4: Simplify right side
    21,071.38x = 404,235,554.64
  5. Step 5: Solve for x
    x = 404,235,554.64/21,071.38
  6. Step 6: Final answer
    x = 19,184.10

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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.