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Finding the Fourth Proportional to 21,071.16, 29,068.34 and 13,513.86

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Solution

The fourth proportional to 21,071.16, 29,068.34 and 13,513.86 is: 18,642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.16 : 29,068.34 = 13,513.86 : x
  2. Step 2: Convert to fraction form
    21,071.16/29,068.34 = 13,513.86/x
  3. Step 3: Cross multiply
    21,071.16x = 29,068.34 × 13,513.86
  4. Step 4: Simplify right side
    21,071.16x = 392,825,409.62
  5. Step 5: Solve for x
    x = 392,825,409.62/21,071.16
  6. Step 6: Final answer
    x = 18,642.80

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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.